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Finding the Fourth Proportional to 979.24, 1,468.65 and 584.08

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Solution

The fourth proportional to 979.24, 1,468.65 and 584.08 is: 875.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.24 : 1,468.65 = 584.08 : x
  2. Step 2: Convert to fraction form
    979.24/1,468.65 = 584.08/x
  3. Step 3: Cross multiply
    979.24x = 1,468.65 × 584.08
  4. Step 4: Simplify right side
    979.24x = 857,809.09
  5. Step 5: Solve for x
    x = 857,809.09/979.24
  6. Step 6: Final answer
    x = 875.99

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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.