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Finding the Fourth Proportional to 956.89, 1,423.88 and 953.65

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Solution

The fourth proportional to 956.89, 1,423.88 and 953.65 is: 1,419.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.89 : 1,423.88 = 953.65 : x
  2. Step 2: Convert to fraction form
    956.89/1,423.88 = 953.65/x
  3. Step 3: Cross multiply
    956.89x = 1,423.88 × 953.65
  4. Step 4: Simplify right side
    956.89x = 1,357,883.16
  5. Step 5: Solve for x
    x = 1,357,883.16/956.89
  6. Step 6: Final answer
    x = 1,419.06

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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.