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Finding the Fourth Proportional to 931.83, 1,285.85 and 512.17

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Solution

The fourth proportional to 931.83, 1,285.85 and 512.17 is: 706.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.83 : 1,285.85 = 512.17 : x
  2. Step 2: Convert to fraction form
    931.83/1,285.85 = 512.17/x
  3. Step 3: Cross multiply
    931.83x = 1,285.85 × 512.17
  4. Step 4: Simplify right side
    931.83x = 658,572.51
  5. Step 5: Solve for x
    x = 658,572.51/931.83
  6. Step 6: Final answer
    x = 706.75

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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.