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Finding the Fourth Proportional to 857.97, 1,287.32 and 653.76

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Solution

The fourth proportional to 857.97, 1,287.32 and 653.76 is: 980.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.97 : 1,287.32 = 653.76 : x
  2. Step 2: Convert to fraction form
    857.97/1,287.32 = 653.76/x
  3. Step 3: Cross multiply
    857.97x = 1,287.32 × 653.76
  4. Step 4: Simplify right side
    857.97x = 841,595.05
  5. Step 5: Solve for x
    x = 841,595.05/857.97
  6. Step 6: Final answer
    x = 980.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.