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Finding the Fourth Proportional to 677.52, 932.85 and 594.18

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Solution

The fourth proportional to 677.52, 932.85 and 594.18 is: 818.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.52 : 932.85 = 594.18 : x
  2. Step 2: Convert to fraction form
    677.52/932.85 = 594.18/x
  3. Step 3: Cross multiply
    677.52x = 932.85 × 594.18
  4. Step 4: Simplify right side
    677.52x = 554,280.81
  5. Step 5: Solve for x
    x = 554,280.81/677.52
  6. Step 6: Final answer
    x = 818.10

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1.5x scale

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.