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Finding the Fourth Proportional to 931.27, 1,285.17 and 505.91

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Solution

The fourth proportional to 931.27, 1,285.17 and 505.91 is: 698.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.27 : 1,285.17 = 505.91 : x
  2. Step 2: Convert to fraction form
    931.27/1,285.17 = 505.91/x
  3. Step 3: Cross multiply
    931.27x = 1,285.17 × 505.91
  4. Step 4: Simplify right side
    931.27x = 650,184.52
  5. Step 5: Solve for x
    x = 650,184.52/931.27
  6. Step 6: Final answer
    x = 698.17

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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.