Home / 1,538.11-2,307.09-442.43

Finding the Fourth Proportional to 1,538.11, 2,307.09 and 442.43

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Solution

The fourth proportional to 1,538.11, 2,307.09 and 442.43 is: 663.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.11 : 2,307.09 = 442.43 : x
  2. Step 2: Convert to fraction form
    1,538.11/2,307.09 = 442.43/x
  3. Step 3: Cross multiply
    1,538.11x = 2,307.09 × 442.43
  4. Step 4: Simplify right side
    1,538.11x = 1,020,733.37
  5. Step 5: Solve for x
    x = 1,020,733.37/1,538.11
  6. Step 6: Final answer
    x = 663.63

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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.