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Finding the Fourth Proportional to 1,002.29, 1,499.66 and 591.65

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Solution

The fourth proportional to 1,002.29, 1,499.66 and 591.65 is: 885.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.29 : 1,499.66 = 591.65 : x
  2. Step 2: Convert to fraction form
    1,002.29/1,499.66 = 591.65/x
  3. Step 3: Cross multiply
    1,002.29x = 1,499.66 × 591.65
  4. Step 4: Simplify right side
    1,002.29x = 887,270.88
  5. Step 5: Solve for x
    x = 887,270.88/1,002.29
  6. Step 6: Final answer
    x = 885.24

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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.