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Finding the Fourth Proportional to 708.75, 978.51 and 484.95

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Solution

The fourth proportional to 708.75, 978.51 and 484.95 is: 669.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.75 : 978.51 = 484.95 : x
  2. Step 2: Convert to fraction form
    708.75/978.51 = 484.95/x
  3. Step 3: Cross multiply
    708.75x = 978.51 × 484.95
  4. Step 4: Simplify right side
    708.75x = 474,528.42
  5. Step 5: Solve for x
    x = 474,528.42/708.75
  6. Step 6: Final answer
    x = 669.53

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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.