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Finding the Fourth Proportional to 976.12, 1,462.86 and 359.24

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Solution

The fourth proportional to 976.12, 1,462.86 and 359.24 is: 538.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.12 : 1,462.86 = 359.24 : x
  2. Step 2: Convert to fraction form
    976.12/1,462.86 = 359.24/x
  3. Step 3: Cross multiply
    976.12x = 1,462.86 × 359.24
  4. Step 4: Simplify right side
    976.12x = 525,510.51
  5. Step 5: Solve for x
    x = 525,510.51/976.12
  6. Step 6: Final answer
    x = 538.37

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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.