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Finding the Fourth Proportional to 1,407.52, 2,111.43 and 483.15

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Solution

The fourth proportional to 1,407.52, 2,111.43 and 483.15 is: 724.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.52 : 2,111.43 = 483.15 : x
  2. Step 2: Convert to fraction form
    1,407.52/2,111.43 = 483.15/x
  3. Step 3: Cross multiply
    1,407.52x = 2,111.43 × 483.15
  4. Step 4: Simplify right side
    1,407.52x = 1,020,147.75
  5. Step 5: Solve for x
    x = 1,020,147.75/1,407.52
  6. Step 6: Final answer
    x = 724.78

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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.