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Finding the Fourth Proportional to 649.48, 973.24 and 432.28

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Solution

The fourth proportional to 649.48, 973.24 and 432.28 is: 647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.48 : 973.24 = 432.28 : x
  2. Step 2: Convert to fraction form
    649.48/973.24 = 432.28/x
  3. Step 3: Cross multiply
    649.48x = 973.24 × 432.28
  4. Step 4: Simplify right side
    649.48x = 420,712.19
  5. Step 5: Solve for x
    x = 420,712.19/649.48
  6. Step 6: Final answer
    x = 647.77

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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.