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Finding the Fourth Proportional to 524.69, 785.16 and 493.55

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Solution

The fourth proportional to 524.69, 785.16 and 493.55 is: 738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.69 : 785.16 = 493.55 : x
  2. Step 2: Convert to fraction form
    524.69/785.16 = 493.55/x
  3. Step 3: Cross multiply
    524.69x = 785.16 × 493.55
  4. Step 4: Simplify right side
    524.69x = 387,511.79
  5. Step 5: Solve for x
    x = 387,511.79/524.69
  6. Step 6: Final answer
    x = 738.56

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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.