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Finding the Fourth Proportional to 862.17, 1,291.47 and 643.02

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Solution

The fourth proportional to 862.17, 1,291.47 and 643.02 is: 963.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.17 : 1,291.47 = 643.02 : x
  2. Step 2: Convert to fraction form
    862.17/1,291.47 = 643.02/x
  3. Step 3: Cross multiply
    862.17x = 1,291.47 × 643.02
  4. Step 4: Simplify right side
    862.17x = 830,441.04
  5. Step 5: Solve for x
    x = 830,441.04/862.17
  6. Step 6: Final answer
    x = 963.20

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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.