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Finding the Fourth Proportional to 903.50, 1,354.28 and 383.38

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Solution

The fourth proportional to 903.50, 1,354.28 and 383.38 is: 574.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.50 : 1,354.28 = 383.38 : x
  2. Step 2: Convert to fraction form
    903.50/1,354.28 = 383.38/x
  3. Step 3: Cross multiply
    903.50x = 1,354.28 × 383.38
  4. Step 4: Simplify right side
    903.50x = 519,203.87
  5. Step 5: Solve for x
    x = 519,203.87/903.50
  6. Step 6: Final answer
    x = 574.66

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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.