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Finding the Fourth Proportional to 720.23, 994.14 and 471.15

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Solution

The fourth proportional to 720.23, 994.14 and 471.15 is: 650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.23 : 994.14 = 471.15 : x
  2. Step 2: Convert to fraction form
    720.23/994.14 = 471.15/x
  3. Step 3: Cross multiply
    720.23x = 994.14 × 471.15
  4. Step 4: Simplify right side
    720.23x = 468,389.06
  5. Step 5: Solve for x
    x = 468,389.06/720.23
  6. Step 6: Final answer
    x = 650.34

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Double scale
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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.