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Finding the Fourth Proportional to 924.44, 1,379.85 and 815.08

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Solution

The fourth proportional to 924.44, 1,379.85 and 815.08 is: 1,216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.44 : 1,379.85 = 815.08 : x
  2. Step 2: Convert to fraction form
    924.44/1,379.85 = 815.08/x
  3. Step 3: Cross multiply
    924.44x = 1,379.85 × 815.08
  4. Step 4: Simplify right side
    924.44x = 1,124,688.14
  5. Step 5: Solve for x
    x = 1,124,688.14/924.44
  6. Step 6: Final answer
    x = 1,216.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.