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Finding the Fourth Proportional to 649.12, 977.16 and 559.80

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Solution

The fourth proportional to 649.12, 977.16 and 559.80 is: 842.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.12 : 977.16 = 559.80 : x
  2. Step 2: Convert to fraction form
    649.12/977.16 = 559.80/x
  3. Step 3: Cross multiply
    649.12x = 977.16 × 559.80
  4. Step 4: Simplify right side
    649.12x = 547,014.17
  5. Step 5: Solve for x
    x = 547,014.17/649.12
  6. Step 6: Final answer
    x = 842.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.