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Finding the Fourth Proportional to 494.16, 740.28 and 474

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Solution

The fourth proportional to 494.16, 740.28 and 474 is: 710.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.16 : 740.28 = 474 : x
  2. Step 2: Convert to fraction form
    494.16/740.28 = 474/x
  3. Step 3: Cross multiply
    494.16x = 740.28 × 474
  4. Step 4: Simplify right side
    494.16x = 350,892.72
  5. Step 5: Solve for x
    x = 350,892.72/494.16
  6. Step 6: Final answer
    x = 710.08

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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.