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Finding the Fourth Proportional to 964.10, 1,329.75 and 715.43

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Solution

The fourth proportional to 964.10, 1,329.75 and 715.43 is: 986.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.10 : 1,329.75 = 715.43 : x
  2. Step 2: Convert to fraction form
    964.10/1,329.75 = 715.43/x
  3. Step 3: Cross multiply
    964.10x = 1,329.75 × 715.43
  4. Step 4: Simplify right side
    964.10x = 951,343.04
  5. Step 5: Solve for x
    x = 951,343.04/964.10
  6. Step 6: Final answer
    x = 986.77

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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.