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Finding the Fourth Proportional to 560.72, 774.24 and 413.60

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Solution

The fourth proportional to 560.72, 774.24 and 413.60 is: 571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.72 : 774.24 = 413.60 : x
  2. Step 2: Convert to fraction form
    560.72/774.24 = 413.60/x
  3. Step 3: Cross multiply
    560.72x = 774.24 × 413.60
  4. Step 4: Simplify right side
    560.72x = 320,225.66
  5. Step 5: Solve for x
    x = 320,225.66/560.72
  6. Step 6: Final answer
    x = 571.10

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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.