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Finding the Fourth Proportional to 524.19, 722.78 and 358.47

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Solution

The fourth proportional to 524.19, 722.78 and 358.47 is: 494.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.19 : 722.78 = 358.47 : x
  2. Step 2: Convert to fraction form
    524.19/722.78 = 358.47/x
  3. Step 3: Cross multiply
    524.19x = 722.78 × 358.47
  4. Step 4: Simplify right side
    524.19x = 259,093.15
  5. Step 5: Solve for x
    x = 259,093.15/524.19
  6. Step 6: Final answer
    x = 494.27

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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.