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Finding the Fourth Proportional to 874.68, 1,206.14 and 653.25

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Solution

The fourth proportional to 874.68, 1,206.14 and 653.25 is: 900.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.68 : 1,206.14 = 653.25 : x
  2. Step 2: Convert to fraction form
    874.68/1,206.14 = 653.25/x
  3. Step 3: Cross multiply
    874.68x = 1,206.14 × 653.25
  4. Step 4: Simplify right side
    874.68x = 787,907.69
  5. Step 5: Solve for x
    x = 787,907.69/874.68
  6. Step 6: Final answer
    x = 900.80

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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.