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Finding the Fourth Proportional to 524.55, 785.28 and 388.22

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Solution

The fourth proportional to 524.55, 785.28 and 388.22 is: 581.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.55 : 785.28 = 388.22 : x
  2. Step 2: Convert to fraction form
    524.55/785.28 = 388.22/x
  3. Step 3: Cross multiply
    524.55x = 785.28 × 388.22
  4. Step 4: Simplify right side
    524.55x = 304,857.48
  5. Step 5: Solve for x
    x = 304,857.48/524.55
  6. Step 6: Final answer
    x = 581.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.