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Finding the Fourth Proportional to 649.80, 974.16 and 577.44

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Solution

The fourth proportional to 649.80, 974.16 and 577.44 is: 865.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.80 : 974.16 = 577.44 : x
  2. Step 2: Convert to fraction form
    649.80/974.16 = 577.44/x
  3. Step 3: Cross multiply
    649.80x = 974.16 × 577.44
  4. Step 4: Simplify right side
    649.80x = 562,518.95
  5. Step 5: Solve for x
    x = 562,518.95/649.80
  6. Step 6: Final answer
    x = 865.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.