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Finding the Fourth Proportional to 949.74, 1,423.02 and 913.74

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Solution

The fourth proportional to 949.74, 1,423.02 and 913.74 is: 1,369.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.74 : 1,423.02 = 913.74 : x
  2. Step 2: Convert to fraction form
    949.74/1,423.02 = 913.74/x
  3. Step 3: Cross multiply
    949.74x = 1,423.02 × 913.74
  4. Step 4: Simplify right side
    949.74x = 1,300,270.29
  5. Step 5: Solve for x
    x = 1,300,270.29/949.74
  6. Step 6: Final answer
    x = 1,369.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.