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Finding the Fourth Proportional to 1,500.78, 2,071.32 and 911.40

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Solution

The fourth proportional to 1,500.78, 2,071.32 and 911.40 is: 1,257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.78 : 2,071.32 = 911.40 : x
  2. Step 2: Convert to fraction form
    1,500.78/2,071.32 = 911.40/x
  3. Step 3: Cross multiply
    1,500.78x = 2,071.32 × 911.40
  4. Step 4: Simplify right side
    1,500.78x = 1,887,801.05
  5. Step 5: Solve for x
    x = 1,887,801.05/1,500.78
  6. Step 6: Final answer
    x = 1,257.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.