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Finding the Fourth Proportional to 770.09, 1,160.69 and 663.17

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Solution

The fourth proportional to 770.09, 1,160.69 and 663.17 is: 999.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.09 : 1,160.69 = 663.17 : x
  2. Step 2: Convert to fraction form
    770.09/1,160.69 = 663.17/x
  3. Step 3: Cross multiply
    770.09x = 1,160.69 × 663.17
  4. Step 4: Simplify right side
    770.09x = 769,734.79
  5. Step 5: Solve for x
    x = 769,734.79/770.09
  6. Step 6: Final answer
    x = 999.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.