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Finding the Fourth Proportional to 1,312.85, 1,967.40 and 728.12

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Solution

The fourth proportional to 1,312.85, 1,967.40 and 728.12 is: 1,091.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.85 : 1,967.40 = 728.12 : x
  2. Step 2: Convert to fraction form
    1,312.85/1,967.40 = 728.12/x
  3. Step 3: Cross multiply
    1,312.85x = 1,967.40 × 728.12
  4. Step 4: Simplify right side
    1,312.85x = 1,432,493.45
  5. Step 5: Solve for x
    x = 1,432,493.45/1,312.85
  6. Step 6: Final answer
    x = 1,091.14

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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.