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Finding the Fourth Proportional to 770.63, 1,061.12 and 659.88

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Solution

The fourth proportional to 770.63, 1,061.12 and 659.88 is: 908.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.63 : 1,061.12 = 659.88 : x
  2. Step 2: Convert to fraction form
    770.63/1,061.12 = 659.88/x
  3. Step 3: Cross multiply
    770.63x = 1,061.12 × 659.88
  4. Step 4: Simplify right side
    770.63x = 700,213.52
  5. Step 5: Solve for x
    x = 700,213.52/770.63
  6. Step 6: Final answer
    x = 908.63

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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.