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Finding the Fourth Proportional to 560.92, 774.23 and 339.89

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Solution

The fourth proportional to 560.92, 774.23 and 339.89 is: 469.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.92 : 774.23 = 339.89 : x
  2. Step 2: Convert to fraction form
    560.92/774.23 = 339.89/x
  3. Step 3: Cross multiply
    560.92x = 774.23 × 339.89
  4. Step 4: Simplify right side
    560.92x = 263,153.03
  5. Step 5: Solve for x
    x = 263,153.03/560.92
  6. Step 6: Final answer
    x = 469.15

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