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Finding the Fourth Proportional to 649.63, 973.45 and 432.75

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Solution

The fourth proportional to 649.63, 973.45 and 432.75 is: 648.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.63 : 973.45 = 432.75 : x
  2. Step 2: Convert to fraction form
    649.63/973.45 = 432.75/x
  3. Step 3: Cross multiply
    649.63x = 973.45 × 432.75
  4. Step 4: Simplify right side
    649.63x = 421,260.49
  5. Step 5: Solve for x
    x = 421,260.49/649.63
  6. Step 6: Final answer
    x = 648.46

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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.