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Finding the Fourth Proportional to 691.11, 953.07 and 533.49

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Solution

The fourth proportional to 691.11, 953.07 and 533.49 is: 735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.11 : 953.07 = 533.49 : x
  2. Step 2: Convert to fraction form
    691.11/953.07 = 533.49/x
  3. Step 3: Cross multiply
    691.11x = 953.07 × 533.49
  4. Step 4: Simplify right side
    691.11x = 508,453.31
  5. Step 5: Solve for x
    x = 508,453.31/691.11
  6. Step 6: Final answer
    x = 735.71

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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.