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Finding the Fourth Proportional to 648.85, 978.11 and 606.53

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Solution

The fourth proportional to 648.85, 978.11 and 606.53 is: 914.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.85 : 978.11 = 606.53 : x
  2. Step 2: Convert to fraction form
    648.85/978.11 = 606.53/x
  3. Step 3: Cross multiply
    648.85x = 978.11 × 606.53
  4. Step 4: Simplify right side
    648.85x = 593,253.06
  5. Step 5: Solve for x
    x = 593,253.06/648.85
  6. Step 6: Final answer
    x = 914.31

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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.