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Finding the Fourth Proportional to 495.28, 740.03 and 478

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Solution

The fourth proportional to 495.28, 740.03 and 478 is: 714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.28 : 740.03 = 478 : x
  2. Step 2: Convert to fraction form
    495.28/740.03 = 478/x
  3. Step 3: Cross multiply
    495.28x = 740.03 × 478
  4. Step 4: Simplify right side
    495.28x = 353,734.34
  5. Step 5: Solve for x
    x = 353,734.34/495.28
  6. Step 6: Final answer
    x = 714.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.