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Finding the Fourth Proportional to 1,043.62, 1,565.75 and 459.11

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Solution

The fourth proportional to 1,043.62, 1,565.75 and 459.11 is: 688.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.62 : 1,565.75 = 459.11 : x
  2. Step 2: Convert to fraction form
    1,043.62/1,565.75 = 459.11/x
  3. Step 3: Cross multiply
    1,043.62x = 1,565.75 × 459.11
  4. Step 4: Simplify right side
    1,043.62x = 718,851.48
  5. Step 5: Solve for x
    x = 718,851.48/1,043.62
  6. Step 6: Final answer
    x = 688.81

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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.