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Finding the Fourth Proportional to 958.65, 1,436.95 and 410.55

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Solution

The fourth proportional to 958.65, 1,436.95 and 410.55 is: 615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.65 : 1,436.95 = 410.55 : x
  2. Step 2: Convert to fraction form
    958.65/1,436.95 = 410.55/x
  3. Step 3: Cross multiply
    958.65x = 1,436.95 × 410.55
  4. Step 4: Simplify right side
    958.65x = 589,939.82
  5. Step 5: Solve for x
    x = 589,939.82/958.65
  6. Step 6: Final answer
    x = 615.39

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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.