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Finding the Fourth Proportional to 931.46, 1,397.12 and 566.16

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Solution

The fourth proportional to 931.46, 1,397.12 and 566.16 is: 849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.46 : 1,397.12 = 566.16 : x
  2. Step 2: Convert to fraction form
    931.46/1,397.12 = 566.16/x
  3. Step 3: Cross multiply
    931.46x = 1,397.12 × 566.16
  4. Step 4: Simplify right side
    931.46x = 790,993.46
  5. Step 5: Solve for x
    x = 790,993.46/931.46
  6. Step 6: Final answer
    x = 849.20

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.