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Finding the Fourth Proportional to 964.45, 1,445.64 and 416.89

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Solution

The fourth proportional to 964.45, 1,445.64 and 416.89 is: 624.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.45 : 1,445.64 = 416.89 : x
  2. Step 2: Convert to fraction form
    964.45/1,445.64 = 416.89/x
  3. Step 3: Cross multiply
    964.45x = 1,445.64 × 416.89
  4. Step 4: Simplify right side
    964.45x = 602,672.86
  5. Step 5: Solve for x
    x = 602,672.86/964.45
  6. Step 6: Final answer
    x = 624.89

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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.