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Finding the Fourth Proportional to 600.57, 829.04 and 404.35

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Solution

The fourth proportional to 600.57, 829.04 and 404.35 is: 558.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.57 : 829.04 = 404.35 : x
  2. Step 2: Convert to fraction form
    600.57/829.04 = 404.35/x
  3. Step 3: Cross multiply
    600.57x = 829.04 × 404.35
  4. Step 4: Simplify right side
    600.57x = 335,218.23
  5. Step 5: Solve for x
    x = 335,218.23/600.57
  6. Step 6: Final answer
    x = 558.17

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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.