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Finding the Fourth Proportional to 708.43, 978.54 and 544.65

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Solution

The fourth proportional to 708.43, 978.54 and 544.65 is: 752.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.43 : 978.54 = 544.65 : x
  2. Step 2: Convert to fraction form
    708.43/978.54 = 544.65/x
  3. Step 3: Cross multiply
    708.43x = 978.54 × 544.65
  4. Step 4: Simplify right side
    708.43x = 532,961.81
  5. Step 5: Solve for x
    x = 532,961.81/708.43
  6. Step 6: Final answer
    x = 752.31

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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.