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Finding the Fourth Proportional to 709.04, 978.28 and 446.96

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Solution

The fourth proportional to 709.04, 978.28 and 446.96 is: 616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.04 : 978.28 = 446.96 : x
  2. Step 2: Convert to fraction form
    709.04/978.28 = 446.96/x
  3. Step 3: Cross multiply
    709.04x = 978.28 × 446.96
  4. Step 4: Simplify right side
    709.04x = 437,252.03
  5. Step 5: Solve for x
    x = 437,252.03/709.04
  6. Step 6: Final answer
    x = 616.68

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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.