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Finding the Fourth Proportional to 871.98, 1,202.38 and 623.20

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Solution

The fourth proportional to 871.98, 1,202.38 and 623.20 is: 859.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.98 : 1,202.38 = 623.20 : x
  2. Step 2: Convert to fraction form
    871.98/1,202.38 = 623.20/x
  3. Step 3: Cross multiply
    871.98x = 1,202.38 × 623.20
  4. Step 4: Simplify right side
    871.98x = 749,323.22
  5. Step 5: Solve for x
    x = 749,323.22/871.98
  6. Step 6: Final answer
    x = 859.34

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Double scale
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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.