Home / 1,538.39-2,307.59-442.77

Finding the Fourth Proportional to 1,538.39, 2,307.59 and 442.77

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Solution

The fourth proportional to 1,538.39, 2,307.59 and 442.77 is: 664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.39 : 2,307.59 = 442.77 : x
  2. Step 2: Convert to fraction form
    1,538.39/2,307.59 = 442.77/x
  3. Step 3: Cross multiply
    1,538.39x = 2,307.59 × 442.77
  4. Step 4: Simplify right side
    1,538.39x = 1,021,722.42
  5. Step 5: Solve for x
    x = 1,021,722.42/1,538.39
  6. Step 6: Final answer
    x = 664.15

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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.