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Finding the Fourth Proportional to 951.90, 1,428.57 and 643.02

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Solution

The fourth proportional to 951.90, 1,428.57 and 643.02 is: 965.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.90 : 1,428.57 = 643.02 : x
  2. Step 2: Convert to fraction form
    951.90/1,428.57 = 643.02/x
  3. Step 3: Cross multiply
    951.90x = 1,428.57 × 643.02
  4. Step 4: Simplify right side
    951.90x = 918,599.08
  5. Step 5: Solve for x
    x = 918,599.08/951.90
  6. Step 6: Final answer
    x = 965.02

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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.