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Finding the Fourth Proportional to 1,384.79, 2,077.54 and 410.87

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Solution

The fourth proportional to 1,384.79, 2,077.54 and 410.87 is: 616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.79 : 2,077.54 = 410.87 : x
  2. Step 2: Convert to fraction form
    1,384.79/2,077.54 = 410.87/x
  3. Step 3: Cross multiply
    1,384.79x = 2,077.54 × 410.87
  4. Step 4: Simplify right side
    1,384.79x = 853,587.44
  5. Step 5: Solve for x
    x = 853,587.44/1,384.79
  6. Step 6: Final answer
    x = 616.40

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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.