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Finding the Fourth Proportional to 709.43, 978.45 and 460.83

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Solution

The fourth proportional to 709.43, 978.45 and 460.83 is: 635.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.43 : 978.45 = 460.83 : x
  2. Step 2: Convert to fraction form
    709.43/978.45 = 460.83/x
  3. Step 3: Cross multiply
    709.43x = 978.45 × 460.83
  4. Step 4: Simplify right side
    709.43x = 450,898.06
  5. Step 5: Solve for x
    x = 450,898.06/709.43
  6. Step 6: Final answer
    x = 635.58

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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.