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Finding the Fourth Proportional to 770.70, 1,062.24 and 734.24

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Solution

The fourth proportional to 770.70, 1,062.24 and 734.24 is: 1,011.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.70 : 1,062.24 = 734.24 : x
  2. Step 2: Convert to fraction form
    770.70/1,062.24 = 734.24/x
  3. Step 3: Cross multiply
    770.70x = 1,062.24 × 734.24
  4. Step 4: Simplify right side
    770.70x = 779,939.10
  5. Step 5: Solve for x
    x = 779,939.10/770.70
  6. Step 6: Final answer
    x = 1,011.99

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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.