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Finding the Fourth Proportional to 903.50, 1,355.86 and 416.55

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Solution

The fourth proportional to 903.50, 1,355.86 and 416.55 is: 625.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.50 : 1,355.86 = 416.55 : x
  2. Step 2: Convert to fraction form
    903.50/1,355.86 = 416.55/x
  3. Step 3: Cross multiply
    903.50x = 1,355.86 × 416.55
  4. Step 4: Simplify right side
    903.50x = 564,783.48
  5. Step 5: Solve for x
    x = 564,783.48/903.50
  6. Step 6: Final answer
    x = 625.11

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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.