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Finding the Fourth Proportional to 649.59, 973.70 and 486.78

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Solution

The fourth proportional to 649.59, 973.70 and 486.78 is: 729.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.59 : 973.70 = 486.78 : x
  2. Step 2: Convert to fraction form
    649.59/973.70 = 486.78/x
  3. Step 3: Cross multiply
    649.59x = 973.70 × 486.78
  4. Step 4: Simplify right side
    649.59x = 473,970.38
  5. Step 5: Solve for x
    x = 473,970.38/649.59
  6. Step 6: Final answer
    x = 729.65

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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.