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Finding the Fourth Proportional to 524.52, 790.65 and 494.67

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Solution

The fourth proportional to 524.52, 790.65 and 494.67 is: 745.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.52 : 790.65 = 494.67 : x
  2. Step 2: Convert to fraction form
    524.52/790.65 = 494.67/x
  3. Step 3: Cross multiply
    524.52x = 790.65 × 494.67
  4. Step 4: Simplify right side
    524.52x = 391,110.84
  5. Step 5: Solve for x
    x = 391,110.84/524.52
  6. Step 6: Final answer
    x = 745.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.