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Finding the Fourth Proportional to 874.76, 1,207.71 and 653.31

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Solution

The fourth proportional to 874.76, 1,207.71 and 653.31 is: 901.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.76 : 1,207.71 = 653.31 : x
  2. Step 2: Convert to fraction form
    874.76/1,207.71 = 653.31/x
  3. Step 3: Cross multiply
    874.76x = 1,207.71 × 653.31
  4. Step 4: Simplify right side
    874.76x = 789,009.02
  5. Step 5: Solve for x
    x = 789,009.02/874.76
  6. Step 6: Final answer
    x = 901.98

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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.