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Finding the Fourth Proportional to 694.79, 959.18 and 537.08

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Solution

The fourth proportional to 694.79, 959.18 and 537.08 is: 741.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.79 : 959.18 = 537.08 : x
  2. Step 2: Convert to fraction form
    694.79/959.18 = 537.08/x
  3. Step 3: Cross multiply
    694.79x = 959.18 × 537.08
  4. Step 4: Simplify right side
    694.79x = 515,156.39
  5. Step 5: Solve for x
    x = 515,156.39/694.79
  6. Step 6: Final answer
    x = 741.46

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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.