Home / 1,538.26-2,307.08-442.46

Finding the Fourth Proportional to 1,538.26, 2,307.08 and 442.46

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Solution

The fourth proportional to 1,538.26, 2,307.08 and 442.46 is: 663.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.26 : 2,307.08 = 442.46 : x
  2. Step 2: Convert to fraction form
    1,538.26/2,307.08 = 442.46/x
  3. Step 3: Cross multiply
    1,538.26x = 2,307.08 × 442.46
  4. Step 4: Simplify right side
    1,538.26x = 1,020,797.49
  5. Step 5: Solve for x
    x = 1,020,797.49/1,538.26
  6. Step 6: Final answer
    x = 663.61

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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.