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Finding the Fourth Proportional to 645.45, 889.77 and 497.84

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Solution

The fourth proportional to 645.45, 889.77 and 497.84 is: 686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.45 : 889.77 = 497.84 : x
  2. Step 2: Convert to fraction form
    645.45/889.77 = 497.84/x
  3. Step 3: Cross multiply
    645.45x = 889.77 × 497.84
  4. Step 4: Simplify right side
    645.45x = 442,958.65
  5. Step 5: Solve for x
    x = 442,958.65/645.45
  6. Step 6: Final answer
    x = 686.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.