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Finding the Fourth Proportional to 874.40, 1,205.64 and 664.04

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Solution

The fourth proportional to 874.40, 1,205.64 and 664.04 is: 915.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.40 : 1,205.64 = 664.04 : x
  2. Step 2: Convert to fraction form
    874.40/1,205.64 = 664.04/x
  3. Step 3: Cross multiply
    874.40x = 1,205.64 × 664.04
  4. Step 4: Simplify right side
    874.40x = 800,596.20
  5. Step 5: Solve for x
    x = 800,596.20/874.40
  6. Step 6: Final answer
    x = 915.60

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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.