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Finding the Fourth Proportional to 1,407.54, 2,111.58 and 483.24

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Solution

The fourth proportional to 1,407.54, 2,111.58 and 483.24 is: 724.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.54 : 2,111.58 = 483.24 : x
  2. Step 2: Convert to fraction form
    1,407.54/2,111.58 = 483.24/x
  3. Step 3: Cross multiply
    1,407.54x = 2,111.58 × 483.24
  4. Step 4: Simplify right side
    1,407.54x = 1,020,399.92
  5. Step 5: Solve for x
    x = 1,020,399.92/1,407.54
  6. Step 6: Final answer
    x = 724.95

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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.