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Finding the Fourth Proportional to 964.48, 1,446.76 and 416.68

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Solution

The fourth proportional to 964.48, 1,446.76 and 416.68 is: 625.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.48 : 1,446.76 = 416.68 : x
  2. Step 2: Convert to fraction form
    964.48/1,446.76 = 416.68/x
  3. Step 3: Cross multiply
    964.48x = 1,446.76 × 416.68
  4. Step 4: Simplify right side
    964.48x = 602,835.96
  5. Step 5: Solve for x
    x = 602,835.96/964.48
  6. Step 6: Final answer
    x = 625.04

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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.