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Finding the Fourth Proportional to 770.39, 1,156.16 and 565.49

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Solution

The fourth proportional to 770.39, 1,156.16 and 565.49 is: 848.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.39 : 1,156.16 = 565.49 : x
  2. Step 2: Convert to fraction form
    770.39/1,156.16 = 565.49/x
  3. Step 3: Cross multiply
    770.39x = 1,156.16 × 565.49
  4. Step 4: Simplify right side
    770.39x = 653,794.09
  5. Step 5: Solve for x
    x = 653,794.09/770.39
  6. Step 6: Final answer
    x = 848.65

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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.