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Finding the Fourth Proportional to 648.32, 975.94 and 581.34

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Solution

The fourth proportional to 648.32, 975.94 and 581.34 is: 875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.32 : 975.94 = 581.34 : x
  2. Step 2: Convert to fraction form
    648.32/975.94 = 581.34/x
  3. Step 3: Cross multiply
    648.32x = 975.94 × 581.34
  4. Step 4: Simplify right side
    648.32x = 567,356.80
  5. Step 5: Solve for x
    x = 567,356.80/648.32
  6. Step 6: Final answer
    x = 875.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.