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Finding the Fourth Proportional to 1,335.05, 2,002.76 and 457.65

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Solution

The fourth proportional to 1,335.05, 2,002.76 and 457.65 is: 686.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.05 : 2,002.76 = 457.65 : x
  2. Step 2: Convert to fraction form
    1,335.05/2,002.76 = 457.65/x
  3. Step 3: Cross multiply
    1,335.05x = 2,002.76 × 457.65
  4. Step 4: Simplify right side
    1,335.05x = 916,560.83
  5. Step 5: Solve for x
    x = 916,560.83/1,335.05
  6. Step 6: Final answer
    x = 686.54

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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.