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Finding the Fourth Proportional to 694.59, 1,041.36 and 420.61

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Solution

The fourth proportional to 694.59, 1,041.36 and 420.61 is: 630.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.59 : 1,041.36 = 420.61 : x
  2. Step 2: Convert to fraction form
    694.59/1,041.36 = 420.61/x
  3. Step 3: Cross multiply
    694.59x = 1,041.36 × 420.61
  4. Step 4: Simplify right side
    694.59x = 438,006.43
  5. Step 5: Solve for x
    x = 438,006.43/694.59
  6. Step 6: Final answer
    x = 630.60

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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.