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Finding the Fourth Proportional to 606.40, 907.77 and 548.65

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Solution

The fourth proportional to 606.40, 907.77 and 548.65 is: 821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.40 : 907.77 = 548.65 : x
  2. Step 2: Convert to fraction form
    606.40/907.77 = 548.65/x
  3. Step 3: Cross multiply
    606.40x = 907.77 × 548.65
  4. Step 4: Simplify right side
    606.40x = 498,043.47
  5. Step 5: Solve for x
    x = 498,043.47/606.40
  6. Step 6: Final answer
    x = 821.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.