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Finding the Fourth Proportional to 945.47, 1,417.85 and 451.79

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Solution

The fourth proportional to 945.47, 1,417.85 and 451.79 is: 677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.47 : 1,417.85 = 451.79 : x
  2. Step 2: Convert to fraction form
    945.47/1,417.85 = 451.79/x
  3. Step 3: Cross multiply
    945.47x = 1,417.85 × 451.79
  4. Step 4: Simplify right side
    945.47x = 640,568.19
  5. Step 5: Solve for x
    x = 640,568.19/945.47
  6. Step 6: Final answer
    x = 677.51

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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.