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Finding the Fourth Proportional to 881.42, 1,315.62 and 777.66

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Solution

The fourth proportional to 881.42, 1,315.62 and 777.66 is: 1,160.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.42 : 1,315.62 = 777.66 : x
  2. Step 2: Convert to fraction form
    881.42/1,315.62 = 777.66/x
  3. Step 3: Cross multiply
    881.42x = 1,315.62 × 777.66
  4. Step 4: Simplify right side
    881.42x = 1,023,105.05
  5. Step 5: Solve for x
    x = 1,023,105.05/881.42
  6. Step 6: Final answer
    x = 1,160.75

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1.5x scale

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.