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Finding the Fourth Proportional to 524.67, 782.74 and 499.15

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Solution

The fourth proportional to 524.67, 782.74 and 499.15 is: 744.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.67 : 782.74 = 499.15 : x
  2. Step 2: Convert to fraction form
    524.67/782.74 = 499.15/x
  3. Step 3: Cross multiply
    524.67x = 782.74 × 499.15
  4. Step 4: Simplify right side
    524.67x = 390,704.67
  5. Step 5: Solve for x
    x = 390,704.67/524.67
  6. Step 6: Final answer
    x = 744.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.