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Finding the Fourth Proportional to 864.29, 1,297 and 474.56

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Solution

The fourth proportional to 864.29, 1,297 and 474.56 is: 712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.29 : 1,297 = 474.56 : x
  2. Step 2: Convert to fraction form
    864.29/1,297 = 474.56/x
  3. Step 3: Cross multiply
    864.29x = 1,297 × 474.56
  4. Step 4: Simplify right side
    864.29x = 615,504.32
  5. Step 5: Solve for x
    x = 615,504.32/864.29
  6. Step 6: Final answer
    x = 712.15

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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.