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Finding the Fourth Proportional to 964.31, 1,445.18 and 416.34

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Solution

The fourth proportional to 964.31, 1,445.18 and 416.34 is: 623.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.31 : 1,445.18 = 416.34 : x
  2. Step 2: Convert to fraction form
    964.31/1,445.18 = 416.34/x
  3. Step 3: Cross multiply
    964.31x = 1,445.18 × 416.34
  4. Step 4: Simplify right side
    964.31x = 601,684.16
  5. Step 5: Solve for x
    x = 601,684.16/964.31
  6. Step 6: Final answer
    x = 623.96

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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.