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Finding the Fourth Proportional to 649.52, 973.37 and 487.01

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Solution

The fourth proportional to 649.52, 973.37 and 487.01 is: 729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.52 : 973.37 = 487.01 : x
  2. Step 2: Convert to fraction form
    649.52/973.37 = 487.01/x
  3. Step 3: Cross multiply
    649.52x = 973.37 × 487.01
  4. Step 4: Simplify right side
    649.52x = 474,041.84
  5. Step 5: Solve for x
    x = 474,041.84/649.52
  6. Step 6: Final answer
    x = 729.84

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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.