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Finding the Fourth Proportional to 641.47, 962.97 and 540.02

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Solution

The fourth proportional to 641.47, 962.97 and 540.02 is: 810.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.47 : 962.97 = 540.02 : x
  2. Step 2: Convert to fraction form
    641.47/962.97 = 540.02/x
  3. Step 3: Cross multiply
    641.47x = 962.97 × 540.02
  4. Step 4: Simplify right side
    641.47x = 520,023.06
  5. Step 5: Solve for x
    x = 520,023.06/641.47
  6. Step 6: Final answer
    x = 810.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.