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Finding the Fourth Proportional to 931.57, 1,285.57 and 538.59

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Solution

The fourth proportional to 931.57, 1,285.57 and 538.59 is: 743.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.57 : 1,285.57 = 538.59 : x
  2. Step 2: Convert to fraction form
    931.57/1,285.57 = 538.59/x
  3. Step 3: Cross multiply
    931.57x = 1,285.57 × 538.59
  4. Step 4: Simplify right side
    931.57x = 692,395.15
  5. Step 5: Solve for x
    x = 692,395.15/931.57
  6. Step 6: Final answer
    x = 743.26

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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.