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Finding the Fourth Proportional to 709.70, 978.75 and 460.91

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Solution

The fourth proportional to 709.70, 978.75 and 460.91 is: 635.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.70 : 978.75 = 460.91 : x
  2. Step 2: Convert to fraction form
    709.70/978.75 = 460.91/x
  3. Step 3: Cross multiply
    709.70x = 978.75 × 460.91
  4. Step 4: Simplify right side
    709.70x = 451,118.11
  5. Step 5: Solve for x
    x = 451,118.11/709.70
  6. Step 6: Final answer
    x = 635.65

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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.