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Finding the Fourth Proportional to 524.07, 722.79 and 358.22

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Solution

The fourth proportional to 524.07, 722.79 and 358.22 is: 494.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.07 : 722.79 = 358.22 : x
  2. Step 2: Convert to fraction form
    524.07/722.79 = 358.22/x
  3. Step 3: Cross multiply
    524.07x = 722.79 × 358.22
  4. Step 4: Simplify right side
    524.07x = 258,919.64
  5. Step 5: Solve for x
    x = 258,919.64/524.07
  6. Step 6: Final answer
    x = 494.06

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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.