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Finding the Fourth Proportional to 677.98, 1,015.88 and 494.52

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Solution

The fourth proportional to 677.98, 1,015.88 and 494.52 is: 740.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.98 : 1,015.88 = 494.52 : x
  2. Step 2: Convert to fraction form
    677.98/1,015.88 = 494.52/x
  3. Step 3: Cross multiply
    677.98x = 1,015.88 × 494.52
  4. Step 4: Simplify right side
    677.98x = 502,372.98
  5. Step 5: Solve for x
    x = 502,372.98/677.98
  6. Step 6: Final answer
    x = 740.98

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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.