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Finding the Fourth Proportional to 817.07, 1,127.74 and 502.61

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Solution

The fourth proportional to 817.07, 1,127.74 and 502.61 is: 693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.07 : 1,127.74 = 502.61 : x
  2. Step 2: Convert to fraction form
    817.07/1,127.74 = 502.61/x
  3. Step 3: Cross multiply
    817.07x = 1,127.74 × 502.61
  4. Step 4: Simplify right side
    817.07x = 566,807.76
  5. Step 5: Solve for x
    x = 566,807.76/817.07
  6. Step 6: Final answer
    x = 693.71

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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.