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Finding the Fourth Proportional to 919.42, 1,268.80 and 499.76

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Solution

The fourth proportional to 919.42, 1,268.80 and 499.76 is: 689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.42 : 1,268.80 = 499.76 : x
  2. Step 2: Convert to fraction form
    919.42/1,268.80 = 499.76/x
  3. Step 3: Cross multiply
    919.42x = 1,268.80 × 499.76
  4. Step 4: Simplify right side
    919.42x = 634,095.49
  5. Step 5: Solve for x
    x = 634,095.49/919.42
  6. Step 6: Final answer
    x = 689.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.