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Finding the Fourth Proportional to 964.34, 1,445.43 and 415.70

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Solution

The fourth proportional to 964.34, 1,445.43 and 415.70 is: 623.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.34 : 1,445.43 = 415.70 : x
  2. Step 2: Convert to fraction form
    964.34/1,445.43 = 415.70/x
  3. Step 3: Cross multiply
    964.34x = 1,445.43 × 415.70
  4. Step 4: Simplify right side
    964.34x = 600,865.25
  5. Step 5: Solve for x
    x = 600,865.25/964.34
  6. Step 6: Final answer
    x = 623.08

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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.