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Finding the Fourth Proportional to 716.63, 1,079.36 and 665.93

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Solution

The fourth proportional to 716.63, 1,079.36 and 665.93 is: 1,003.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.63 : 1,079.36 = 665.93 : x
  2. Step 2: Convert to fraction form
    716.63/1,079.36 = 665.93/x
  3. Step 3: Cross multiply
    716.63x = 1,079.36 × 665.93
  4. Step 4: Simplify right side
    716.63x = 718,778.20
  5. Step 5: Solve for x
    x = 718,778.20/716.63
  6. Step 6: Final answer
    x = 1,003.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.