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Finding the Fourth Proportional to 853, 1,177.61 and 653.45

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Solution

The fourth proportional to 853, 1,177.61 and 653.45 is: 902.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    853 : 1,177.61 = 653.45 : x
  2. Step 2: Convert to fraction form
    853/1,177.61 = 653.45/x
  3. Step 3: Cross multiply
    853x = 1,177.61 × 653.45
  4. Step 4: Simplify right side
    853x = 769,509.25
  5. Step 5: Solve for x
    x = 769,509.25/853
  6. Step 6: Final answer
    x = 902.12

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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.