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Finding the Fourth Proportional to 648.32, 971.93 and 282.84

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Solution

The fourth proportional to 648.32, 971.93 and 282.84 is: 424.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.32 : 971.93 = 282.84 : x
  2. Step 2: Convert to fraction form
    648.32/971.93 = 282.84/x
  3. Step 3: Cross multiply
    648.32x = 971.93 × 282.84
  4. Step 4: Simplify right side
    648.32x = 274,895.62
  5. Step 5: Solve for x
    x = 274,895.62/648.32
  6. Step 6: Final answer
    x = 424.01

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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.