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Finding the Fourth Proportional to 524.02, 785.17 and 277.21

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Solution

The fourth proportional to 524.02, 785.17 and 277.21 is: 415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.02 : 785.17 = 277.21 : x
  2. Step 2: Convert to fraction form
    524.02/785.17 = 277.21/x
  3. Step 3: Cross multiply
    524.02x = 785.17 × 277.21
  4. Step 4: Simplify right side
    524.02x = 217,656.98
  5. Step 5: Solve for x
    x = 217,656.98/524.02
  6. Step 6: Final answer
    x = 415.36

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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.