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Finding the Fourth Proportional to 966.35, 1,450.51 and 602.06

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Solution

The fourth proportional to 966.35, 1,450.51 and 602.06 is: 903.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.35 : 1,450.51 = 602.06 : x
  2. Step 2: Convert to fraction form
    966.35/1,450.51 = 602.06/x
  3. Step 3: Cross multiply
    966.35x = 1,450.51 × 602.06
  4. Step 4: Simplify right side
    966.35x = 873,285.29
  5. Step 5: Solve for x
    x = 873,285.29/966.35
  6. Step 6: Final answer
    x = 903.69

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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.