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Finding the Fourth Proportional to 677.36, 932.49 and 490.52

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Solution

The fourth proportional to 677.36, 932.49 and 490.52 is: 675.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.36 : 932.49 = 490.52 : x
  2. Step 2: Convert to fraction form
    677.36/932.49 = 490.52/x
  3. Step 3: Cross multiply
    677.36x = 932.49 × 490.52
  4. Step 4: Simplify right side
    677.36x = 457,400.33
  5. Step 5: Solve for x
    x = 457,400.33/677.36
  6. Step 6: Final answer
    x = 675.27

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1.5x scale

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.