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Finding the Fourth Proportional to 648.37, 977.44 and 606.61

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Solution

The fourth proportional to 648.37, 977.44 and 606.61 is: 914.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.37 : 977.44 = 606.61 : x
  2. Step 2: Convert to fraction form
    648.37/977.44 = 606.61/x
  3. Step 3: Cross multiply
    648.37x = 977.44 × 606.61
  4. Step 4: Simplify right side
    648.37x = 592,924.88
  5. Step 5: Solve for x
    x = 592,924.88/648.37
  6. Step 6: Final answer
    x = 914.49

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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.