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Finding the Fourth Proportional to 945.14, 1,417.84 and 483.20

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Solution

The fourth proportional to 945.14, 1,417.84 and 483.20 is: 724.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.14 : 1,417.84 = 483.20 : x
  2. Step 2: Convert to fraction form
    945.14/1,417.84 = 483.20/x
  3. Step 3: Cross multiply
    945.14x = 1,417.84 × 483.20
  4. Step 4: Simplify right side
    945.14x = 685,100.29
  5. Step 5: Solve for x
    x = 685,100.29/945.14
  6. Step 6: Final answer
    x = 724.87

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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.