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Finding the Fourth Proportional to 903.40, 1,354.93 and 416.41

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Solution

The fourth proportional to 903.40, 1,354.93 and 416.41 is: 624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.40 : 1,354.93 = 416.41 : x
  2. Step 2: Convert to fraction form
    903.40/1,354.93 = 416.41/x
  3. Step 3: Cross multiply
    903.40x = 1,354.93 × 416.41
  4. Step 4: Simplify right side
    903.40x = 564,206.40
  5. Step 5: Solve for x
    x = 564,206.40/903.40
  6. Step 6: Final answer
    x = 624.54

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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.