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Finding the Fourth Proportional to 872.37, 1,202.58 and 624.24

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Solution

The fourth proportional to 872.37, 1,202.58 and 624.24 is: 860.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.37 : 1,202.58 = 624.24 : x
  2. Step 2: Convert to fraction form
    872.37/1,202.58 = 624.24/x
  3. Step 3: Cross multiply
    872.37x = 1,202.58 × 624.24
  4. Step 4: Simplify right side
    872.37x = 750,698.54
  5. Step 5: Solve for x
    x = 750,698.54/872.37
  6. Step 6: Final answer
    x = 860.53

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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.