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Finding the Fourth Proportional to 678.55, 1,017.82 and 494.62

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Solution

The fourth proportional to 678.55, 1,017.82 and 494.62 is: 741.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.55 : 1,017.82 = 494.62 : x
  2. Step 2: Convert to fraction form
    678.55/1,017.82 = 494.62/x
  3. Step 3: Cross multiply
    678.55x = 1,017.82 × 494.62
  4. Step 4: Simplify right side
    678.55x = 503,434.13
  5. Step 5: Solve for x
    x = 503,434.13/678.55
  6. Step 6: Final answer
    x = 741.93

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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.