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Finding the Fourth Proportional to 678.74, 1,016.13 and 417.96

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Solution

The fourth proportional to 678.74, 1,016.13 and 417.96 is: 625.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.74 : 1,016.13 = 417.96 : x
  2. Step 2: Convert to fraction form
    678.74/1,016.13 = 417.96/x
  3. Step 3: Cross multiply
    678.74x = 1,016.13 × 417.96
  4. Step 4: Simplify right side
    678.74x = 424,702.22
  5. Step 5: Solve for x
    x = 424,702.22/678.74
  6. Step 6: Final answer
    x = 625.72

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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.