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Finding the Fourth Proportional to 958.79, 1,436.98 and 410.32

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Solution

The fourth proportional to 958.79, 1,436.98 and 410.32 is: 614.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.79 : 1,436.98 = 410.32 : x
  2. Step 2: Convert to fraction form
    958.79/1,436.98 = 410.32/x
  3. Step 3: Cross multiply
    958.79x = 1,436.98 × 410.32
  4. Step 4: Simplify right side
    958.79x = 589,621.63
  5. Step 5: Solve for x
    x = 589,621.63/958.79
  6. Step 6: Final answer
    x = 614.96

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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.