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Finding the Fourth Proportional to 708.95, 976.18 and 541.05

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Solution

The fourth proportional to 708.95, 976.18 and 541.05 is: 744.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.95 : 976.18 = 541.05 : x
  2. Step 2: Convert to fraction form
    708.95/976.18 = 541.05/x
  3. Step 3: Cross multiply
    708.95x = 976.18 × 541.05
  4. Step 4: Simplify right side
    708.95x = 528,164.90
  5. Step 5: Solve for x
    x = 528,164.90/708.95
  6. Step 6: Final answer
    x = 744.99

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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.