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Finding the Fourth Proportional to 649.22, 973.89 and 528.50

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Solution

The fourth proportional to 649.22, 973.89 and 528.50 is: 792.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.22 : 973.89 = 528.50 : x
  2. Step 2: Convert to fraction form
    649.22/973.89 = 528.50/x
  3. Step 3: Cross multiply
    649.22x = 973.89 × 528.50
  4. Step 4: Simplify right side
    649.22x = 514,700.87
  5. Step 5: Solve for x
    x = 514,700.87/649.22
  6. Step 6: Final answer
    x = 792.80

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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.