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Finding the Fourth Proportional to 648.12, 977.07 and 606.36

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Solution

The fourth proportional to 648.12, 977.07 and 606.36 is: 914.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.12 : 977.07 = 606.36 : x
  2. Step 2: Convert to fraction form
    648.12/977.07 = 606.36/x
  3. Step 3: Cross multiply
    648.12x = 977.07 × 606.36
  4. Step 4: Simplify right side
    648.12x = 592,456.17
  5. Step 5: Solve for x
    x = 592,456.17/648.12
  6. Step 6: Final answer
    x = 914.11

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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.