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Finding the Fourth Proportional to 564.12, 841.86 and 502.61

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Solution

The fourth proportional to 564.12, 841.86 and 502.61 is: 750.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.12 : 841.86 = 502.61 : x
  2. Step 2: Convert to fraction form
    564.12/841.86 = 502.61/x
  3. Step 3: Cross multiply
    564.12x = 841.86 × 502.61
  4. Step 4: Simplify right side
    564.12x = 423,123.05
  5. Step 5: Solve for x
    x = 423,123.05/564.12
  6. Step 6: Final answer
    x = 750.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.