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Finding the Fourth Proportional to 874.80, 1,207.58 and 653.36

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Solution

The fourth proportional to 874.80, 1,207.58 and 653.36 is: 901.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.80 : 1,207.58 = 653.36 : x
  2. Step 2: Convert to fraction form
    874.80/1,207.58 = 653.36/x
  3. Step 3: Cross multiply
    874.80x = 1,207.58 × 653.36
  4. Step 4: Simplify right side
    874.80x = 788,984.47
  5. Step 5: Solve for x
    x = 788,984.47/874.80
  6. Step 6: Final answer
    x = 901.90

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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.