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Finding the Fourth Proportional to 964.16, 1,445.94 and 314.75

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Solution

The fourth proportional to 964.16, 1,445.94 and 314.75 is: 472.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.16 : 1,445.94 = 314.75 : x
  2. Step 2: Convert to fraction form
    964.16/1,445.94 = 314.75/x
  3. Step 3: Cross multiply
    964.16x = 1,445.94 × 314.75
  4. Step 4: Simplify right side
    964.16x = 455,109.62
  5. Step 5: Solve for x
    x = 455,109.62/964.16
  6. Step 6: Final answer
    x = 472.03

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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.