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Finding the Fourth Proportional to 1,456.01, 2,184.36 and 634.52

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Solution

The fourth proportional to 1,456.01, 2,184.36 and 634.52 is: 951.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.01 : 2,184.36 = 634.52 : x
  2. Step 2: Convert to fraction form
    1,456.01/2,184.36 = 634.52/x
  3. Step 3: Cross multiply
    1,456.01x = 2,184.36 × 634.52
  4. Step 4: Simplify right side
    1,456.01x = 1,386,009.19
  5. Step 5: Solve for x
    x = 1,386,009.19/1,456.01
  6. Step 6: Final answer
    x = 951.93

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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.