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Finding the Fourth Proportional to 1,587.47, 2,380.03 and 613.13

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Solution

The fourth proportional to 1,587.47, 2,380.03 and 613.13 is: 919.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.47 : 2,380.03 = 613.13 : x
  2. Step 2: Convert to fraction form
    1,587.47/2,380.03 = 613.13/x
  3. Step 3: Cross multiply
    1,587.47x = 2,380.03 × 613.13
  4. Step 4: Simplify right side
    1,587.47x = 1,459,254.36
  5. Step 5: Solve for x
    x = 1,459,254.36/1,587.47
  6. Step 6: Final answer
    x = 919.24

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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.