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Finding the Fourth Proportional to 783.40, 1,082.46 and 618.94

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Solution

The fourth proportional to 783.40, 1,082.46 and 618.94 is: 855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.40 : 1,082.46 = 618.94 : x
  2. Step 2: Convert to fraction form
    783.40/1,082.46 = 618.94/x
  3. Step 3: Cross multiply
    783.40x = 1,082.46 × 618.94
  4. Step 4: Simplify right side
    783.40x = 669,977.79
  5. Step 5: Solve for x
    x = 669,977.79/783.40
  6. Step 6: Final answer
    x = 855.22

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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.