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Finding the Fourth Proportional to 934.72, 1,400.72 and 740.24

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Solution

The fourth proportional to 934.72, 1,400.72 and 740.24 is: 1,109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.72 : 1,400.72 = 740.24 : x
  2. Step 2: Convert to fraction form
    934.72/1,400.72 = 740.24/x
  3. Step 3: Cross multiply
    934.72x = 1,400.72 × 740.24
  4. Step 4: Simplify right side
    934.72x = 1,036,868.97
  5. Step 5: Solve for x
    x = 1,036,868.97/934.72
  6. Step 6: Final answer
    x = 1,109.28

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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.