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Finding the Fourth Proportional to 560.05, 839.39 and 491.25

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Solution

The fourth proportional to 560.05, 839.39 and 491.25 is: 736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.05 : 839.39 = 491.25 : x
  2. Step 2: Convert to fraction form
    560.05/839.39 = 491.25/x
  3. Step 3: Cross multiply
    560.05x = 839.39 × 491.25
  4. Step 4: Simplify right side
    560.05x = 412,350.34
  5. Step 5: Solve for x
    x = 412,350.34/560.05
  6. Step 6: Final answer
    x = 736.27

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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.