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Finding the Fourth Proportional to 783.32, 1,082.15 and 665.10

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Solution

The fourth proportional to 783.32, 1,082.15 and 665.10 is: 918.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.32 : 1,082.15 = 665.10 : x
  2. Step 2: Convert to fraction form
    783.32/1,082.15 = 665.10/x
  3. Step 3: Cross multiply
    783.32x = 1,082.15 × 665.10
  4. Step 4: Simplify right side
    783.32x = 719,734.64
  5. Step 5: Solve for x
    x = 719,734.64/783.32
  6. Step 6: Final answer
    x = 918.83

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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.