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Finding the Fourth Proportional to 965.33, 1,442.33 and 714.09

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Solution

The fourth proportional to 965.33, 1,442.33 and 714.09 is: 1,066.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.33 : 1,442.33 = 714.09 : x
  2. Step 2: Convert to fraction form
    965.33/1,442.33 = 714.09/x
  3. Step 3: Cross multiply
    965.33x = 1,442.33 × 714.09
  4. Step 4: Simplify right side
    965.33x = 1,029,949.86
  5. Step 5: Solve for x
    x = 1,029,949.86/965.33
  6. Step 6: Final answer
    x = 1,066.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.