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Finding the Fourth Proportional to 560.92, 774.14 and 339.95

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Solution

The fourth proportional to 560.92, 774.14 and 339.95 is: 469.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.92 : 774.14 = 339.95 : x
  2. Step 2: Convert to fraction form
    560.92/774.14 = 339.95/x
  3. Step 3: Cross multiply
    560.92x = 774.14 × 339.95
  4. Step 4: Simplify right side
    560.92x = 263,168.89
  5. Step 5: Solve for x
    x = 263,168.89/560.92
  6. Step 6: Final answer
    x = 469.17

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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.