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Finding the Fourth Proportional to 560.45, 839.65 and 498.95

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Solution

The fourth proportional to 560.45, 839.65 and 498.95 is: 747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.45 : 839.65 = 498.95 : x
  2. Step 2: Convert to fraction form
    560.45/839.65 = 498.95/x
  3. Step 3: Cross multiply
    560.45x = 839.65 × 498.95
  4. Step 4: Simplify right side
    560.45x = 418,937.92
  5. Step 5: Solve for x
    x = 418,937.92/560.45
  6. Step 6: Final answer
    x = 747.50

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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.