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Finding the Fourth Proportional to 873.45, 1,206.42 and 653.38

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Solution

The fourth proportional to 873.45, 1,206.42 and 653.38 is: 902.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.45 : 1,206.42 = 653.38 : x
  2. Step 2: Convert to fraction form
    873.45/1,206.42 = 653.38/x
  3. Step 3: Cross multiply
    873.45x = 1,206.42 × 653.38
  4. Step 4: Simplify right side
    873.45x = 788,250.70
  5. Step 5: Solve for x
    x = 788,250.70/873.45
  6. Step 6: Final answer
    x = 902.46

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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.