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Finding the Fourth Proportional to 1,142.45, 1,577.53 and 770.66

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Solution

The fourth proportional to 1,142.45, 1,577.53 and 770.66 is: 1,064.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.45 : 1,577.53 = 770.66 : x
  2. Step 2: Convert to fraction form
    1,142.45/1,577.53 = 770.66/x
  3. Step 3: Cross multiply
    1,142.45x = 1,577.53 × 770.66
  4. Step 4: Simplify right side
    1,142.45x = 1,215,729.46
  5. Step 5: Solve for x
    x = 1,215,729.46/1,142.45
  6. Step 6: Final answer
    x = 1,064.15

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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.