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Finding the Fourth Proportional to 709.52, 979.12 and 399.02

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Solution

The fourth proportional to 709.52, 979.12 and 399.02 is: 550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.52 : 979.12 = 399.02 : x
  2. Step 2: Convert to fraction form
    709.52/979.12 = 399.02/x
  3. Step 3: Cross multiply
    709.52x = 979.12 × 399.02
  4. Step 4: Simplify right side
    709.52x = 390,688.46
  5. Step 5: Solve for x
    x = 390,688.46/709.52
  6. Step 6: Final answer
    x = 550.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.