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Finding the Fourth Proportional to 845.77, 1,264.03 and 780.11

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Solution

The fourth proportional to 845.77, 1,264.03 and 780.11 is: 1,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.77 : 1,264.03 = 780.11 : x
  2. Step 2: Convert to fraction form
    845.77/1,264.03 = 780.11/x
  3. Step 3: Cross multiply
    845.77x = 1,264.03 × 780.11
  4. Step 4: Simplify right side
    845.77x = 986,082.44
  5. Step 5: Solve for x
    x = 986,082.44/845.77
  6. Step 6: Final answer
    x = 1,165.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.