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Finding the Fourth Proportional to 651.48, 971.68 and 610.44

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Solution

The fourth proportional to 651.48, 971.68 and 610.44 is: 910.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.48 : 971.68 = 610.44 : x
  2. Step 2: Convert to fraction form
    651.48/971.68 = 610.44/x
  3. Step 3: Cross multiply
    651.48x = 971.68 × 610.44
  4. Step 4: Simplify right side
    651.48x = 593,152.34
  5. Step 5: Solve for x
    x = 593,152.34/651.48
  6. Step 6: Final answer
    x = 910.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.