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Finding the Fourth Proportional to 1,407.68, 2,111.28 and 381.68

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Solution

The fourth proportional to 1,407.68, 2,111.28 and 381.68 is: 572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.68 : 2,111.28 = 381.68 : x
  2. Step 2: Convert to fraction form
    1,407.68/2,111.28 = 381.68/x
  3. Step 3: Cross multiply
    1,407.68x = 2,111.28 × 381.68
  4. Step 4: Simplify right side
    1,407.68x = 805,833.35
  5. Step 5: Solve for x
    x = 805,833.35/1,407.68
  6. Step 6: Final answer
    x = 572.45

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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.