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Finding the Fourth Proportional to 709.53, 978.81 and 460.89

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Solution

The fourth proportional to 709.53, 978.81 and 460.89 is: 635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.53 : 978.81 = 460.89 : x
  2. Step 2: Convert to fraction form
    709.53/978.81 = 460.89/x
  3. Step 3: Cross multiply
    709.53x = 978.81 × 460.89
  4. Step 4: Simplify right side
    709.53x = 451,123.74
  5. Step 5: Solve for x
    x = 451,123.74/709.53
  6. Step 6: Final answer
    x = 635.81

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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.