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Finding the Fourth Proportional to 838.32, 1,157.04 and 558.06

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Solution

The fourth proportional to 838.32, 1,157.04 and 558.06 is: 770.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.32 : 1,157.04 = 558.06 : x
  2. Step 2: Convert to fraction form
    838.32/1,157.04 = 558.06/x
  3. Step 3: Cross multiply
    838.32x = 1,157.04 × 558.06
  4. Step 4: Simplify right side
    838.32x = 645,697.74
  5. Step 5: Solve for x
    x = 645,697.74/838.32
  6. Step 6: Final answer
    x = 770.23

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Double scale
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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.