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Finding the Fourth Proportional to 931.59, 1,285.57 and 511.95

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Solution

The fourth proportional to 931.59, 1,285.57 and 511.95 is: 706.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.59 : 1,285.57 = 511.95 : x
  2. Step 2: Convert to fraction form
    931.59/1,285.57 = 511.95/x
  3. Step 3: Cross multiply
    931.59x = 1,285.57 × 511.95
  4. Step 4: Simplify right side
    931.59x = 658,142.47
  5. Step 5: Solve for x
    x = 658,142.47/931.59
  6. Step 6: Final answer
    x = 706.47

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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.