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Finding the Fourth Proportional to 1,312.02, 1,967.57 and 387.34

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Solution

The fourth proportional to 1,312.02, 1,967.57 and 387.34 is: 580.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.02 : 1,967.57 = 387.34 : x
  2. Step 2: Convert to fraction form
    1,312.02/1,967.57 = 387.34/x
  3. Step 3: Cross multiply
    1,312.02x = 1,967.57 × 387.34
  4. Step 4: Simplify right side
    1,312.02x = 762,114.61
  5. Step 5: Solve for x
    x = 762,114.61/1,312.02
  6. Step 6: Final answer
    x = 580.87

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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.