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Finding the Fourth Proportional to 650.59, 975.88 and 432.63

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Solution

The fourth proportional to 650.59, 975.88 and 432.63 is: 648.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.59 : 975.88 = 432.63 : x
  2. Step 2: Convert to fraction form
    650.59/975.88 = 432.63/x
  3. Step 3: Cross multiply
    650.59x = 975.88 × 432.63
  4. Step 4: Simplify right side
    650.59x = 422,195.51
  5. Step 5: Solve for x
    x = 422,195.51/650.59
  6. Step 6: Final answer
    x = 648.95

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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.