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Finding the Fourth Proportional to 670.87, 1,006.50 and 499.78

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Solution

The fourth proportional to 670.87, 1,006.50 and 499.78 is: 749.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.87 : 1,006.50 = 499.78 : x
  2. Step 2: Convert to fraction form
    670.87/1,006.50 = 499.78/x
  3. Step 3: Cross multiply
    670.87x = 1,006.50 × 499.78
  4. Step 4: Simplify right side
    670.87x = 503,028.57
  5. Step 5: Solve for x
    x = 503,028.57/670.87
  6. Step 6: Final answer
    x = 749.82

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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.