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Finding the Fourth Proportional to 871.45, 1,202.55 and 478.45

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Solution

The fourth proportional to 871.45, 1,202.55 and 478.45 is: 660.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.45 : 1,202.55 = 478.45 : x
  2. Step 2: Convert to fraction form
    871.45/1,202.55 = 478.45/x
  3. Step 3: Cross multiply
    871.45x = 1,202.55 × 478.45
  4. Step 4: Simplify right side
    871.45x = 575,360.05
  5. Step 5: Solve for x
    x = 575,360.05/871.45
  6. Step 6: Final answer
    x = 660.23

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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.