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Finding the Fourth Proportional to 678.61, 1,018.77 and 354.19

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Solution

The fourth proportional to 678.61, 1,018.77 and 354.19 is: 531.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.61 : 1,018.77 = 354.19 : x
  2. Step 2: Convert to fraction form
    678.61/1,018.77 = 354.19/x
  3. Step 3: Cross multiply
    678.61x = 1,018.77 × 354.19
  4. Step 4: Simplify right side
    678.61x = 360,838.15
  5. Step 5: Solve for x
    x = 360,838.15/678.61
  6. Step 6: Final answer
    x = 531.73

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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.