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Finding the Fourth Proportional to 857.62, 1,283.91 and 653.02

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Solution

The fourth proportional to 857.62, 1,283.91 and 653.02 is: 977.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.62 : 1,283.91 = 653.02 : x
  2. Step 2: Convert to fraction form
    857.62/1,283.91 = 653.02/x
  3. Step 3: Cross multiply
    857.62x = 1,283.91 × 653.02
  4. Step 4: Simplify right side
    857.62x = 838,418.91
  5. Step 5: Solve for x
    x = 838,418.91/857.62
  6. Step 6: Final answer
    x = 977.61

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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.