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Finding the Fourth Proportional to 587.98, 878.45 and 490.78

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Solution

The fourth proportional to 587.98, 878.45 and 490.78 is: 733.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.98 : 878.45 = 490.78 : x
  2. Step 2: Convert to fraction form
    587.98/878.45 = 490.78/x
  3. Step 3: Cross multiply
    587.98x = 878.45 × 490.78
  4. Step 4: Simplify right side
    587.98x = 431,125.69
  5. Step 5: Solve for x
    x = 431,125.69/587.98
  6. Step 6: Final answer
    x = 733.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.