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Finding the Fourth Proportional to 966.53, 1,333.67 and 651.29

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Solution

The fourth proportional to 966.53, 1,333.67 and 651.29 is: 898.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.53 : 1,333.67 = 651.29 : x
  2. Step 2: Convert to fraction form
    966.53/1,333.67 = 651.29/x
  3. Step 3: Cross multiply
    966.53x = 1,333.67 × 651.29
  4. Step 4: Simplify right side
    966.53x = 868,603.51
  5. Step 5: Solve for x
    x = 868,603.51/966.53
  6. Step 6: Final answer
    x = 898.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.