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Finding the Fourth Proportional to 508.53, 762.80 and 123.78

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Solution

The fourth proportional to 508.53, 762.80 and 123.78 is: 185.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.53 : 762.80 = 123.78 : x
  2. Step 2: Convert to fraction form
    508.53/762.80 = 123.78/x
  3. Step 3: Cross multiply
    508.53x = 762.80 × 123.78
  4. Step 4: Simplify right side
    508.53x = 94,421.29
  5. Step 5: Solve for x
    x = 94,421.29/508.53
  6. Step 6: Final answer
    x = 185.67

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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.