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Finding the Fourth Proportional to 823.80, 1,135.46 and 624.56

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Solution

The fourth proportional to 823.80, 1,135.46 and 624.56 is: 860.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.80 : 1,135.46 = 624.56 : x
  2. Step 2: Convert to fraction form
    823.80/1,135.46 = 624.56/x
  3. Step 3: Cross multiply
    823.80x = 1,135.46 × 624.56
  4. Step 4: Simplify right side
    823.80x = 709,162.61
  5. Step 5: Solve for x
    x = 709,162.61/823.80
  6. Step 6: Final answer
    x = 860.85

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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.