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Finding the Fourth Proportional to 784.82, 1,082.38 and 618.77

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Solution

The fourth proportional to 784.82, 1,082.38 and 618.77 is: 853.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.82 : 1,082.38 = 618.77 : x
  2. Step 2: Convert to fraction form
    784.82/1,082.38 = 618.77/x
  3. Step 3: Cross multiply
    784.82x = 1,082.38 × 618.77
  4. Step 4: Simplify right side
    784.82x = 669,744.27
  5. Step 5: Solve for x
    x = 669,744.27/784.82
  6. Step 6: Final answer
    x = 853.37

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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.