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Finding the Fourth Proportional to 524.77, 785.78 and 351.16

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Solution

The fourth proportional to 524.77, 785.78 and 351.16 is: 525.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.77 : 785.78 = 351.16 : x
  2. Step 2: Convert to fraction form
    524.77/785.78 = 351.16/x
  3. Step 3: Cross multiply
    524.77x = 785.78 × 351.16
  4. Step 4: Simplify right side
    524.77x = 275,932.10
  5. Step 5: Solve for x
    x = 275,932.10/524.77
  6. Step 6: Final answer
    x = 525.82

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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.