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Finding the Fourth Proportional to 697.61, 1,043.99 and 478.31

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Solution

The fourth proportional to 697.61, 1,043.99 and 478.31 is: 715.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.61 : 1,043.99 = 478.31 : x
  2. Step 2: Convert to fraction form
    697.61/1,043.99 = 478.31/x
  3. Step 3: Cross multiply
    697.61x = 1,043.99 × 478.31
  4. Step 4: Simplify right side
    697.61x = 499,345.04
  5. Step 5: Solve for x
    x = 499,345.04/697.61
  6. Step 6: Final answer
    x = 715.79

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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.