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Finding the Fourth Proportional to 1,342.68, 2,013.88 and 477.04

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Solution

The fourth proportional to 1,342.68, 2,013.88 and 477.04 is: 715.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.68 : 2,013.88 = 477.04 : x
  2. Step 2: Convert to fraction form
    1,342.68/2,013.88 = 477.04/x
  3. Step 3: Cross multiply
    1,342.68x = 2,013.88 × 477.04
  4. Step 4: Simplify right side
    1,342.68x = 960,701.32
  5. Step 5: Solve for x
    x = 960,701.32/1,342.68
  6. Step 6: Final answer
    x = 715.51

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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.