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Finding the Fourth Proportional to 1,587.59, 2,381.62 and 491.69

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Solution

The fourth proportional to 1,587.59, 2,381.62 and 491.69 is: 737.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.59 : 2,381.62 = 491.69 : x
  2. Step 2: Convert to fraction form
    1,587.59/2,381.62 = 491.69/x
  3. Step 3: Cross multiply
    1,587.59x = 2,381.62 × 491.69
  4. Step 4: Simplify right side
    1,587.59x = 1,171,006.83
  5. Step 5: Solve for x
    x = 1,171,006.83/1,587.59
  6. Step 6: Final answer
    x = 737.60

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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.