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Finding the Fourth Proportional to 1,552.30, 2,326.47 and 728.76

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Solution

The fourth proportional to 1,552.30, 2,326.47 and 728.76 is: 1,092.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.30 : 2,326.47 = 728.76 : x
  2. Step 2: Convert to fraction form
    1,552.30/2,326.47 = 728.76/x
  3. Step 3: Cross multiply
    1,552.30x = 2,326.47 × 728.76
  4. Step 4: Simplify right side
    1,552.30x = 1,695,438.28
  5. Step 5: Solve for x
    x = 1,695,438.28/1,552.30
  6. Step 6: Final answer
    x = 1,092.21

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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.