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Finding the Fourth Proportional to 1,312.34, 1,967.92 and 387.58

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Solution

The fourth proportional to 1,312.34, 1,967.92 and 387.58 is: 581.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.34 : 1,967.92 = 387.58 : x
  2. Step 2: Convert to fraction form
    1,312.34/1,967.92 = 387.58/x
  3. Step 3: Cross multiply
    1,312.34x = 1,967.92 × 387.58
  4. Step 4: Simplify right side
    1,312.34x = 762,726.43
  5. Step 5: Solve for x
    x = 762,726.43/1,312.34
  6. Step 6: Final answer
    x = 581.20

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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.