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Finding the Fourth Proportional to 772.35, 1,065.38 and 624.75

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Solution

The fourth proportional to 772.35, 1,065.38 and 624.75 is: 861.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.35 : 1,065.38 = 624.75 : x
  2. Step 2: Convert to fraction form
    772.35/1,065.38 = 624.75/x
  3. Step 3: Cross multiply
    772.35x = 1,065.38 × 624.75
  4. Step 4: Simplify right side
    772.35x = 665,593.03
  5. Step 5: Solve for x
    x = 665,593.03/772.35
  6. Step 6: Final answer
    x = 861.78

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1.5x scale

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.