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Finding the Fourth Proportional to 903.78, 1,355.82 and 538.38

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Solution

The fourth proportional to 903.78, 1,355.82 and 538.38 is: 807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.78 : 1,355.82 = 538.38 : x
  2. Step 2: Convert to fraction form
    903.78/1,355.82 = 538.38/x
  3. Step 3: Cross multiply
    903.78x = 1,355.82 × 538.38
  4. Step 4: Simplify right side
    903.78x = 729,946.37
  5. Step 5: Solve for x
    x = 729,946.37/903.78
  6. Step 6: Final answer
    x = 807.66

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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.