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Finding the Fourth Proportional to 770.81, 1,156.81 and 565.91

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Solution

The fourth proportional to 770.81, 1,156.81 and 565.91 is: 849.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.81 : 1,156.81 = 565.91 : x
  2. Step 2: Convert to fraction form
    770.81/1,156.81 = 565.91/x
  3. Step 3: Cross multiply
    770.81x = 1,156.81 × 565.91
  4. Step 4: Simplify right side
    770.81x = 654,650.35
  5. Step 5: Solve for x
    x = 654,650.35/770.81
  6. Step 6: Final answer
    x = 849.30

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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.