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Finding the Fourth Proportional to 783.32, 1,080.65 and 721.14

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Solution

The fourth proportional to 783.32, 1,080.65 and 721.14 is: 994.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.32 : 1,080.65 = 721.14 : x
  2. Step 2: Convert to fraction form
    783.32/1,080.65 = 721.14/x
  3. Step 3: Cross multiply
    783.32x = 1,080.65 × 721.14
  4. Step 4: Simplify right side
    783.32x = 779,296.34
  5. Step 5: Solve for x
    x = 779,296.34/783.32
  6. Step 6: Final answer
    x = 994.87

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1.5x scale

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.