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Finding the Fourth Proportional to 914.16, 1,371.14 and 451.98

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Solution

The fourth proportional to 914.16, 1,371.14 and 451.98 is: 677.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.16 : 1,371.14 = 451.98 : x
  2. Step 2: Convert to fraction form
    914.16/1,371.14 = 451.98/x
  3. Step 3: Cross multiply
    914.16x = 1,371.14 × 451.98
  4. Step 4: Simplify right side
    914.16x = 619,727.86
  5. Step 5: Solve for x
    x = 619,727.86/914.16
  6. Step 6: Final answer
    x = 677.92

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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.