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Finding the Fourth Proportional to 1,542.52, 2,310.54 and 721.45

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Solution

The fourth proportional to 1,542.52, 2,310.54 and 721.45 is: 1,080.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.52 : 2,310.54 = 721.45 : x
  2. Step 2: Convert to fraction form
    1,542.52/2,310.54 = 721.45/x
  3. Step 3: Cross multiply
    1,542.52x = 2,310.54 × 721.45
  4. Step 4: Simplify right side
    1,542.52x = 1,666,939.08
  5. Step 5: Solve for x
    x = 1,666,939.08/1,542.52
  6. Step 6: Final answer
    x = 1,080.66

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1.5x scale

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.