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Finding the Fourth Proportional to 687.99, 1,032.35 and 379.79

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Solution

The fourth proportional to 687.99, 1,032.35 and 379.79 is: 569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.99 : 1,032.35 = 379.79 : x
  2. Step 2: Convert to fraction form
    687.99/1,032.35 = 379.79/x
  3. Step 3: Cross multiply
    687.99x = 1,032.35 × 379.79
  4. Step 4: Simplify right side
    687.99x = 392,073.02
  5. Step 5: Solve for x
    x = 392,073.02/687.99
  6. Step 6: Final answer
    x = 569.88

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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.