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Finding the Fourth Proportional to 1,451.89, 2,002.44 and 954.35

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Solution

The fourth proportional to 1,451.89, 2,002.44 and 954.35 is: 1,316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.89 : 2,002.44 = 954.35 : x
  2. Step 2: Convert to fraction form
    1,451.89/2,002.44 = 954.35/x
  3. Step 3: Cross multiply
    1,451.89x = 2,002.44 × 954.35
  4. Step 4: Simplify right side
    1,451.89x = 1,911,013.83
  5. Step 5: Solve for x
    x = 1,911,013.83/1,451.89
  6. Step 6: Final answer
    x = 1,316.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.