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Finding the Fourth Proportional to 648.51, 971.39 and 525.49

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Solution

The fourth proportional to 648.51, 971.39 and 525.49 is: 787.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.51 : 971.39 = 525.49 : x
  2. Step 2: Convert to fraction form
    648.51/971.39 = 525.49/x
  3. Step 3: Cross multiply
    648.51x = 971.39 × 525.49
  4. Step 4: Simplify right side
    648.51x = 510,454.62
  5. Step 5: Solve for x
    x = 510,454.62/648.51
  6. Step 6: Final answer
    x = 787.12

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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.