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Finding the Fourth Proportional to 651.75, 897.26 and 610.17

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Solution

The fourth proportional to 651.75, 897.26 and 610.17 is: 840.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.75 : 897.26 = 610.17 : x
  2. Step 2: Convert to fraction form
    651.75/897.26 = 610.17/x
  3. Step 3: Cross multiply
    651.75x = 897.26 × 610.17
  4. Step 4: Simplify right side
    651.75x = 547,478.08
  5. Step 5: Solve for x
    x = 547,478.08/651.75
  6. Step 6: Final answer
    x = 840.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.