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Finding the Fourth Proportional to 677.35, 935.31 and 529.93

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Solution

The fourth proportional to 677.35, 935.31 and 529.93 is: 731.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.35 : 935.31 = 529.93 : x
  2. Step 2: Convert to fraction form
    677.35/935.31 = 529.93/x
  3. Step 3: Cross multiply
    677.35x = 935.31 × 529.93
  4. Step 4: Simplify right side
    677.35x = 495,648.83
  5. Step 5: Solve for x
    x = 495,648.83/677.35
  6. Step 6: Final answer
    x = 731.75

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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.