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Finding the Fourth Proportional to 648.61, 977.70 and 610.99

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Solution

The fourth proportional to 648.61, 977.70 and 610.99 is: 920.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.61 : 977.70 = 610.99 : x
  2. Step 2: Convert to fraction form
    648.61/977.70 = 610.99/x
  3. Step 3: Cross multiply
    648.61x = 977.70 × 610.99
  4. Step 4: Simplify right side
    648.61x = 597,362.48
  5. Step 5: Solve for x
    x = 597,362.48/648.61
  6. Step 6: Final answer
    x = 920.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.