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Finding the Fourth Proportional to 840.22, 1,157.08 and 721.24

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Solution

The fourth proportional to 840.22, 1,157.08 and 721.24 is: 993.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.22 : 1,157.08 = 721.24 : x
  2. Step 2: Convert to fraction form
    840.22/1,157.08 = 721.24/x
  3. Step 3: Cross multiply
    840.22x = 1,157.08 × 721.24
  4. Step 4: Simplify right side
    840.22x = 834,532.38
  5. Step 5: Solve for x
    x = 834,532.38/840.22
  6. Step 6: Final answer
    x = 993.23

Related Problems

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Half scale
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Double scale
Find fourth proportional to 841.22, 1,158.46 and 722.24
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.