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Finding the Fourth Proportional to 560.54, 838.30 and 499.28

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Solution

The fourth proportional to 560.54, 838.30 and 499.28 is: 746.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.54 : 838.30 = 499.28 : x
  2. Step 2: Convert to fraction form
    560.54/838.30 = 499.28/x
  3. Step 3: Cross multiply
    560.54x = 838.30 × 499.28
  4. Step 4: Simplify right side
    560.54x = 418,546.42
  5. Step 5: Solve for x
    x = 418,546.42/560.54
  6. Step 6: Final answer
    x = 746.68

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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.