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Finding the Fourth Proportional to 1,572.74, 2,359.78 and 751.02

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Solution

The fourth proportional to 1,572.74, 2,359.78 and 751.02 is: 1,126.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.74 : 2,359.78 = 751.02 : x
  2. Step 2: Convert to fraction form
    1,572.74/2,359.78 = 751.02/x
  3. Step 3: Cross multiply
    1,572.74x = 2,359.78 × 751.02
  4. Step 4: Simplify right side
    1,572.74x = 1,772,241.98
  5. Step 5: Solve for x
    x = 1,772,241.98/1,572.74
  6. Step 6: Final answer
    x = 1,126.85

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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.