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Finding the Fourth Proportional to 1,094.80, 1,641.71 and 325.12

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Solution

The fourth proportional to 1,094.80, 1,641.71 and 325.12 is: 487.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.80 : 1,641.71 = 325.12 : x
  2. Step 2: Convert to fraction form
    1,094.80/1,641.71 = 325.12/x
  3. Step 3: Cross multiply
    1,094.80x = 1,641.71 × 325.12
  4. Step 4: Simplify right side
    1,094.80x = 533,752.76
  5. Step 5: Solve for x
    x = 533,752.76/1,094.80
  6. Step 6: Final answer
    x = 487.53

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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.