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Finding the Fourth Proportional to 1,079.30, 1,618.86 and 646.14

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Solution

The fourth proportional to 1,079.30, 1,618.86 and 646.14 is: 969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.30 : 1,618.86 = 646.14 : x
  2. Step 2: Convert to fraction form
    1,079.30/1,618.86 = 646.14/x
  3. Step 3: Cross multiply
    1,079.30x = 1,618.86 × 646.14
  4. Step 4: Simplify right side
    1,079.30x = 1,046,010.20
  5. Step 5: Solve for x
    x = 1,046,010.20/1,079.30
  6. Step 6: Final answer
    x = 969.16

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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.