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Finding the Fourth Proportional to 677.62, 1,010.39 and 624.43

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Solution

The fourth proportional to 677.62, 1,010.39 and 624.43 is: 931.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.62 : 1,010.39 = 624.43 : x
  2. Step 2: Convert to fraction form
    677.62/1,010.39 = 624.43/x
  3. Step 3: Cross multiply
    677.62x = 1,010.39 × 624.43
  4. Step 4: Simplify right side
    677.62x = 630,917.83
  5. Step 5: Solve for x
    x = 630,917.83/677.62
  6. Step 6: Final answer
    x = 931.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.