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Finding the Fourth Proportional to 774.34, 1,160.66 and 591.14

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Solution

The fourth proportional to 774.34, 1,160.66 and 591.14 is: 886.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.34 : 1,160.66 = 591.14 : x
  2. Step 2: Convert to fraction form
    774.34/1,160.66 = 591.14/x
  3. Step 3: Cross multiply
    774.34x = 1,160.66 × 591.14
  4. Step 4: Simplify right side
    774.34x = 686,116.93
  5. Step 5: Solve for x
    x = 686,116.93/774.34
  6. Step 6: Final answer
    x = 886.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.