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Finding the Fourth Proportional to 1,005.91, 1,507.24 and 543.90

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Solution

The fourth proportional to 1,005.91, 1,507.24 and 543.90 is: 814.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.91 : 1,507.24 = 543.90 : x
  2. Step 2: Convert to fraction form
    1,005.91/1,507.24 = 543.90/x
  3. Step 3: Cross multiply
    1,005.91x = 1,507.24 × 543.90
  4. Step 4: Simplify right side
    1,005.91x = 819,789.18
  5. Step 5: Solve for x
    x = 819,789.18/1,005.91
  6. Step 6: Final answer
    x = 814.98

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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.