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Finding the Fourth Proportional to 777.68, 1,162.08 and 591.56

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Solution

The fourth proportional to 777.68, 1,162.08 and 591.56 is: 883.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.68 : 1,162.08 = 591.56 : x
  2. Step 2: Convert to fraction form
    777.68/1,162.08 = 591.56/x
  3. Step 3: Cross multiply
    777.68x = 1,162.08 × 591.56
  4. Step 4: Simplify right side
    777.68x = 687,440.04
  5. Step 5: Solve for x
    x = 687,440.04/777.68
  6. Step 6: Final answer
    x = 883.96

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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.