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Finding the Fourth Proportional to 641.24, 956.76 and 533.24

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Solution

The fourth proportional to 641.24, 956.76 and 533.24 is: 795.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.24 : 956.76 = 533.24 : x
  2. Step 2: Convert to fraction form
    641.24/956.76 = 533.24/x
  3. Step 3: Cross multiply
    641.24x = 956.76 × 533.24
  4. Step 4: Simplify right side
    641.24x = 510,182.70
  5. Step 5: Solve for x
    x = 510,182.70/641.24
  6. Step 6: Final answer
    x = 795.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.