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Finding the Fourth Proportional to 1,384.90, 2,077.55 and 410.87

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Solution

The fourth proportional to 1,384.90, 2,077.55 and 410.87 is: 616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.90 : 2,077.55 = 410.87 : x
  2. Step 2: Convert to fraction form
    1,384.90/2,077.55 = 410.87/x
  3. Step 3: Cross multiply
    1,384.90x = 2,077.55 × 410.87
  4. Step 4: Simplify right side
    1,384.90x = 853,602.97
  5. Step 5: Solve for x
    x = 853,602.97/1,384.90
  6. Step 6: Final answer
    x = 616.36

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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.