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Finding the Fourth Proportional to 976.03, 1,464.05 and 359.42

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Solution

The fourth proportional to 976.03, 1,464.05 and 359.42 is: 539.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.03 : 1,464.05 = 359.42 : x
  2. Step 2: Convert to fraction form
    976.03/1,464.05 = 359.42/x
  3. Step 3: Cross multiply
    976.03x = 1,464.05 × 359.42
  4. Step 4: Simplify right side
    976.03x = 526,209.65
  5. Step 5: Solve for x
    x = 526,209.65/976.03
  6. Step 6: Final answer
    x = 539.13

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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.