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Finding the Fourth Proportional to 772.46, 1,066.23 and 615.36

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Solution

The fourth proportional to 772.46, 1,066.23 and 615.36 is: 849.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.46 : 1,066.23 = 615.36 : x
  2. Step 2: Convert to fraction form
    772.46/1,066.23 = 615.36/x
  3. Step 3: Cross multiply
    772.46x = 1,066.23 × 615.36
  4. Step 4: Simplify right side
    772.46x = 656,115.29
  5. Step 5: Solve for x
    x = 656,115.29/772.46
  6. Step 6: Final answer
    x = 849.39

Related Problems

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Half scale
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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.