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Finding the Fourth Proportional to 677.16, 932.85 and 558.63

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Solution

The fourth proportional to 677.16, 932.85 and 558.63 is: 769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.16 : 932.85 = 558.63 : x
  2. Step 2: Convert to fraction form
    677.16/932.85 = 558.63/x
  3. Step 3: Cross multiply
    677.16x = 932.85 × 558.63
  4. Step 4: Simplify right side
    677.16x = 521,118.00
  5. Step 5: Solve for x
    x = 521,118.00/677.16
  6. Step 6: Final answer
    x = 769.56

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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.