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Finding the Fourth Proportional to 1,004.38, 1,507.18 and 456.82

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Solution

The fourth proportional to 1,004.38, 1,507.18 and 456.82 is: 685.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.38 : 1,507.18 = 456.82 : x
  2. Step 2: Convert to fraction form
    1,004.38/1,507.18 = 456.82/x
  3. Step 3: Cross multiply
    1,004.38x = 1,507.18 × 456.82
  4. Step 4: Simplify right side
    1,004.38x = 688,509.97
  5. Step 5: Solve for x
    x = 688,509.97/1,004.38
  6. Step 6: Final answer
    x = 685.51

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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.