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Finding the Fourth Proportional to 962.65, 1,445.66 and 913.38

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Solution

The fourth proportional to 962.65, 1,445.66 and 913.38 is: 1,371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.65 : 1,445.66 = 913.38 : x
  2. Step 2: Convert to fraction form
    962.65/1,445.66 = 913.38/x
  3. Step 3: Cross multiply
    962.65x = 1,445.66 × 913.38
  4. Step 4: Simplify right side
    962.65x = 1,320,436.93
  5. Step 5: Solve for x
    x = 1,320,436.93/962.65
  6. Step 6: Final answer
    x = 1,371.67

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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.