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Finding the Fourth Proportional to 497.54, 685.97 and 404.19

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Solution

The fourth proportional to 497.54, 685.97 and 404.19 is: 557.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.54 : 685.97 = 404.19 : x
  2. Step 2: Convert to fraction form
    497.54/685.97 = 404.19/x
  3. Step 3: Cross multiply
    497.54x = 685.97 × 404.19
  4. Step 4: Simplify right side
    497.54x = 277,261.71
  5. Step 5: Solve for x
    x = 277,261.71/497.54
  6. Step 6: Final answer
    x = 557.26

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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.