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Finding the Fourth Proportional to 767.81, 1,152.18 and 705.85

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Solution

The fourth proportional to 767.81, 1,152.18 and 705.85 is: 1,059.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.81 : 1,152.18 = 705.85 : x
  2. Step 2: Convert to fraction form
    767.81/1,152.18 = 705.85/x
  3. Step 3: Cross multiply
    767.81x = 1,152.18 × 705.85
  4. Step 4: Simplify right side
    767.81x = 813,266.25
  5. Step 5: Solve for x
    x = 813,266.25/767.81
  6. Step 6: Final answer
    x = 1,059.20

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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.