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Finding the Fourth Proportional to 931.53, 1,285.74 and 538.78

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Solution

The fourth proportional to 931.53, 1,285.74 and 538.78 is: 743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.53 : 1,285.74 = 538.78 : x
  2. Step 2: Convert to fraction form
    931.53/1,285.74 = 538.78/x
  3. Step 3: Cross multiply
    931.53x = 1,285.74 × 538.78
  4. Step 4: Simplify right side
    931.53x = 692,731.00
  5. Step 5: Solve for x
    x = 692,731.00/931.53
  6. Step 6: Final answer
    x = 743.65

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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.