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Finding the Fourth Proportional to 649.20, 895.62 and 413.06

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Solution

The fourth proportional to 649.20, 895.62 and 413.06 is: 569.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.20 : 895.62 = 413.06 : x
  2. Step 2: Convert to fraction form
    649.20/895.62 = 413.06/x
  3. Step 3: Cross multiply
    649.20x = 895.62 × 413.06
  4. Step 4: Simplify right side
    649.20x = 369,944.80
  5. Step 5: Solve for x
    x = 369,944.80/649.20
  6. Step 6: Final answer
    x = 569.85

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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.