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Finding the Fourth Proportional to 871.48, 1,202.70 and 609.40

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Solution

The fourth proportional to 871.48, 1,202.70 and 609.40 is: 841.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.48 : 1,202.70 = 609.40 : x
  2. Step 2: Convert to fraction form
    871.48/1,202.70 = 609.40/x
  3. Step 3: Cross multiply
    871.48x = 1,202.70 × 609.40
  4. Step 4: Simplify right side
    871.48x = 732,925.38
  5. Step 5: Solve for x
    x = 732,925.38/871.48
  6. Step 6: Final answer
    x = 841.01

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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.