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Finding the Fourth Proportional to 770.42, 1,154.28 and 701.84

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Solution

The fourth proportional to 770.42, 1,154.28 and 701.84 is: 1,051.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.42 : 1,154.28 = 701.84 : x
  2. Step 2: Convert to fraction form
    770.42/1,154.28 = 701.84/x
  3. Step 3: Cross multiply
    770.42x = 1,154.28 × 701.84
  4. Step 4: Simplify right side
    770.42x = 810,119.88
  5. Step 5: Solve for x
    x = 810,119.88/770.42
  6. Step 6: Final answer
    x = 1,051.53

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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.