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Finding the Fourth Proportional to 651.92, 897.76 and 610.23

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Solution

The fourth proportional to 651.92, 897.76 and 610.23 is: 840.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.92 : 897.76 = 610.23 : x
  2. Step 2: Convert to fraction form
    651.92/897.76 = 610.23/x
  3. Step 3: Cross multiply
    651.92x = 897.76 × 610.23
  4. Step 4: Simplify right side
    651.92x = 547,842.50
  5. Step 5: Solve for x
    x = 547,842.50/651.92
  6. Step 6: Final answer
    x = 840.35

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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.