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Finding the Fourth Proportional to 956.62, 1,320.19 and 723.34

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Solution

The fourth proportional to 956.62, 1,320.19 and 723.34 is: 998.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.62 : 1,320.19 = 723.34 : x
  2. Step 2: Convert to fraction form
    956.62/1,320.19 = 723.34/x
  3. Step 3: Cross multiply
    956.62x = 1,320.19 × 723.34
  4. Step 4: Simplify right side
    956.62x = 954,946.23
  5. Step 5: Solve for x
    x = 954,946.23/956.62
  6. Step 6: Final answer
    x = 998.25

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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.