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Finding the Fourth Proportional to 649.23, 972.63 and 567.83

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Solution

The fourth proportional to 649.23, 972.63 and 567.83 is: 850.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.23 : 972.63 = 567.83 : x
  2. Step 2: Convert to fraction form
    649.23/972.63 = 567.83/x
  3. Step 3: Cross multiply
    649.23x = 972.63 × 567.83
  4. Step 4: Simplify right side
    649.23x = 552,283.63
  5. Step 5: Solve for x
    x = 552,283.63/649.23
  6. Step 6: Final answer
    x = 850.67

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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.