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Finding the Fourth Proportional to 648.62, 977.80 and 606.86

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Solution

The fourth proportional to 648.62, 977.80 and 606.86 is: 914.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.62 : 977.80 = 606.86 : x
  2. Step 2: Convert to fraction form
    648.62/977.80 = 606.86/x
  3. Step 3: Cross multiply
    648.62x = 977.80 × 606.86
  4. Step 4: Simplify right side
    648.62x = 593,384.67
  5. Step 5: Solve for x
    x = 593,384.67/648.62
  6. Step 6: Final answer
    x = 914.84

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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.