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Finding the Fourth Proportional to 684.92, 1,027.53 and 594.71

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Solution

The fourth proportional to 684.92, 1,027.53 and 594.71 is: 892.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.92 : 1,027.53 = 594.71 : x
  2. Step 2: Convert to fraction form
    684.92/1,027.53 = 594.71/x
  3. Step 3: Cross multiply
    684.92x = 1,027.53 × 594.71
  4. Step 4: Simplify right side
    684.92x = 611,082.37
  5. Step 5: Solve for x
    x = 611,082.37/684.92
  6. Step 6: Final answer
    x = 892.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.