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Finding the Fourth Proportional to 770.44, 1,061.67 and 537.16

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Solution

The fourth proportional to 770.44, 1,061.67 and 537.16 is: 740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.44 : 1,061.67 = 537.16 : x
  2. Step 2: Convert to fraction form
    770.44/1,061.67 = 537.16/x
  3. Step 3: Cross multiply
    770.44x = 1,061.67 × 537.16
  4. Step 4: Simplify right side
    770.44x = 570,286.66
  5. Step 5: Solve for x
    x = 570,286.66/770.44
  6. Step 6: Final answer
    x = 740.21

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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.