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Finding the Fourth Proportional to 1,068.01, 1,602.18 and 409.86

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Solution

The fourth proportional to 1,068.01, 1,602.18 and 409.86 is: 614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.01 : 1,602.18 = 409.86 : x
  2. Step 2: Convert to fraction form
    1,068.01/1,602.18 = 409.86/x
  3. Step 3: Cross multiply
    1,068.01x = 1,602.18 × 409.86
  4. Step 4: Simplify right side
    1,068.01x = 656,669.49
  5. Step 5: Solve for x
    x = 656,669.49/1,068.01
  6. Step 6: Final answer
    x = 614.85

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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.