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Finding the Fourth Proportional to 560.86, 774.08 and 324.77

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Solution

The fourth proportional to 560.86, 774.08 and 324.77 is: 448.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.86 : 774.08 = 324.77 : x
  2. Step 2: Convert to fraction form
    560.86/774.08 = 324.77/x
  3. Step 3: Cross multiply
    560.86x = 774.08 × 324.77
  4. Step 4: Simplify right side
    560.86x = 251,397.96
  5. Step 5: Solve for x
    x = 251,397.96/560.86
  6. Step 6: Final answer
    x = 448.24

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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.