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Finding the Fourth Proportional to 560.32, 773.14 and 339.24

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Solution

The fourth proportional to 560.32, 773.14 and 339.24 is: 468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.32 : 773.14 = 339.24 : x
  2. Step 2: Convert to fraction form
    560.32/773.14 = 339.24/x
  3. Step 3: Cross multiply
    560.32x = 773.14 × 339.24
  4. Step 4: Simplify right side
    560.32x = 262,280.01
  5. Step 5: Solve for x
    x = 262,280.01/560.32
  6. Step 6: Final answer
    x = 468.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.