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Finding the Fourth Proportional to 1,587.78, 2,382.57 and 613.80

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Solution

The fourth proportional to 1,587.78, 2,382.57 and 613.80 is: 921.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.78 : 2,382.57 = 613.80 : x
  2. Step 2: Convert to fraction form
    1,587.78/2,382.57 = 613.80/x
  3. Step 3: Cross multiply
    1,587.78x = 2,382.57 × 613.80
  4. Step 4: Simplify right side
    1,587.78x = 1,462,421.47
  5. Step 5: Solve for x
    x = 1,462,421.47/1,587.78
  6. Step 6: Final answer
    x = 921.05

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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.