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Finding the Fourth Proportional to 903.69, 1,354.93 and 416.48

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Solution

The fourth proportional to 903.69, 1,354.93 and 416.48 is: 624.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.69 : 1,354.93 = 416.48 : x
  2. Step 2: Convert to fraction form
    903.69/1,354.93 = 416.48/x
  3. Step 3: Cross multiply
    903.69x = 1,354.93 × 416.48
  4. Step 4: Simplify right side
    903.69x = 564,292.39
  5. Step 5: Solve for x
    x = 564,292.39/903.69
  6. Step 6: Final answer
    x = 624.43

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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.