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Finding the Fourth Proportional to 851.48, 1,174.80 and 654.64

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Solution

The fourth proportional to 851.48, 1,174.80 and 654.64 is: 903.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.48 : 1,174.80 = 654.64 : x
  2. Step 2: Convert to fraction form
    851.48/1,174.80 = 654.64/x
  3. Step 3: Cross multiply
    851.48x = 1,174.80 × 654.64
  4. Step 4: Simplify right side
    851.48x = 769,071.07
  5. Step 5: Solve for x
    x = 769,071.07/851.48
  6. Step 6: Final answer
    x = 903.22

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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.