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Finding the Fourth Proportional to 931.79, 1,285.87 and 538.83

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Solution

The fourth proportional to 931.79, 1,285.87 and 538.83 is: 743.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.79 : 1,285.87 = 538.83 : x
  2. Step 2: Convert to fraction form
    931.79/1,285.87 = 538.83/x
  3. Step 3: Cross multiply
    931.79x = 1,285.87 × 538.83
  4. Step 4: Simplify right side
    931.79x = 692,863.99
  5. Step 5: Solve for x
    x = 692,863.99/931.79
  6. Step 6: Final answer
    x = 743.59

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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.