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Finding the Fourth Proportional to 708.84, 978.65 and 456.87

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Solution

The fourth proportional to 708.84, 978.65 and 456.87 is: 630.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.84 : 978.65 = 456.87 : x
  2. Step 2: Convert to fraction form
    708.84/978.65 = 456.87/x
  3. Step 3: Cross multiply
    708.84x = 978.65 × 456.87
  4. Step 4: Simplify right side
    708.84x = 447,115.99
  5. Step 5: Solve for x
    x = 447,115.99/708.84
  6. Step 6: Final answer
    x = 630.78

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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.