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Finding the Fourth Proportional to 1,094.48, 1,639.32 and 964.88

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Solution

The fourth proportional to 1,094.48, 1,639.32 and 964.88 is: 1,445.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.48 : 1,639.32 = 964.88 : x
  2. Step 2: Convert to fraction form
    1,094.48/1,639.32 = 964.88/x
  3. Step 3: Cross multiply
    1,094.48x = 1,639.32 × 964.88
  4. Step 4: Simplify right side
    1,094.48x = 1,581,747.08
  5. Step 5: Solve for x
    x = 1,581,747.08/1,094.48
  6. Step 6: Final answer
    x = 1,445.20

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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.