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Finding the Fourth Proportional to 524.12, 783.17 and 400.04

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Solution

The fourth proportional to 524.12, 783.17 and 400.04 is: 597.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.12 : 783.17 = 400.04 : x
  2. Step 2: Convert to fraction form
    524.12/783.17 = 400.04/x
  3. Step 3: Cross multiply
    524.12x = 783.17 × 400.04
  4. Step 4: Simplify right side
    524.12x = 313,299.33
  5. Step 5: Solve for x
    x = 313,299.33/524.12
  6. Step 6: Final answer
    x = 597.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.