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Finding the Fourth Proportional to 522.72, 785.16 and 360.72

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Solution

The fourth proportional to 522.72, 785.16 and 360.72 is: 541.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.72 : 785.16 = 360.72 : x
  2. Step 2: Convert to fraction form
    522.72/785.16 = 360.72/x
  3. Step 3: Cross multiply
    522.72x = 785.16 × 360.72
  4. Step 4: Simplify right side
    522.72x = 283,222.92
  5. Step 5: Solve for x
    x = 283,222.92/522.72
  6. Step 6: Final answer
    x = 541.83

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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.