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Finding the Fourth Proportional to 770.81, 1,150.56 and 705.87

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Solution

The fourth proportional to 770.81, 1,150.56 and 705.87 is: 1,053.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.81 : 1,150.56 = 705.87 : x
  2. Step 2: Convert to fraction form
    770.81/1,150.56 = 705.87/x
  3. Step 3: Cross multiply
    770.81x = 1,150.56 × 705.87
  4. Step 4: Simplify right side
    770.81x = 812,145.79
  5. Step 5: Solve for x
    x = 812,145.79/770.81
  6. Step 6: Final answer
    x = 1,053.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.