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Finding the Fourth Proportional to 708.64, 978.49 and 459.87

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Solution

The fourth proportional to 708.64, 978.49 and 459.87 is: 634.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.64 : 978.49 = 459.87 : x
  2. Step 2: Convert to fraction form
    708.64/978.49 = 459.87/x
  3. Step 3: Cross multiply
    708.64x = 978.49 × 459.87
  4. Step 4: Simplify right side
    708.64x = 449,978.20
  5. Step 5: Solve for x
    x = 449,978.20/708.64
  6. Step 6: Final answer
    x = 634.99

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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.