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Finding the Fourth Proportional to 1,538.68, 2,307.90 and 498.64

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Solution

The fourth proportional to 1,538.68, 2,307.90 and 498.64 is: 747.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.68 : 2,307.90 = 498.64 : x
  2. Step 2: Convert to fraction form
    1,538.68/2,307.90 = 498.64/x
  3. Step 3: Cross multiply
    1,538.68x = 2,307.90 × 498.64
  4. Step 4: Simplify right side
    1,538.68x = 1,150,811.26
  5. Step 5: Solve for x
    x = 1,150,811.26/1,538.68
  6. Step 6: Final answer
    x = 747.92

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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.