Home / 1,538.41-2,307.95-498.51

Finding the Fourth Proportional to 1,538.41, 2,307.95 and 498.51

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Solution

The fourth proportional to 1,538.41, 2,307.95 and 498.51 is: 747.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.41 : 2,307.95 = 498.51 : x
  2. Step 2: Convert to fraction form
    1,538.41/2,307.95 = 498.51/x
  3. Step 3: Cross multiply
    1,538.41x = 2,307.95 × 498.51
  4. Step 4: Simplify right side
    1,538.41x = 1,150,536.55
  5. Step 5: Solve for x
    x = 1,150,536.55/1,538.41
  6. Step 6: Final answer
    x = 747.88

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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.