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Finding the Fourth Proportional to 770.89, 1,063.37 and 560.78

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Solution

The fourth proportional to 770.89, 1,063.37 and 560.78 is: 773.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.89 : 1,063.37 = 560.78 : x
  2. Step 2: Convert to fraction form
    770.89/1,063.37 = 560.78/x
  3. Step 3: Cross multiply
    770.89x = 1,063.37 × 560.78
  4. Step 4: Simplify right side
    770.89x = 596,313.82
  5. Step 5: Solve for x
    x = 596,313.82/770.89
  6. Step 6: Final answer
    x = 773.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.