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Finding the Fourth Proportional to 903.73, 1,355.50 and 613.10

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Solution

The fourth proportional to 903.73, 1,355.50 and 613.10 is: 919.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.73 : 1,355.50 = 613.10 : x
  2. Step 2: Convert to fraction form
    903.73/1,355.50 = 613.10/x
  3. Step 3: Cross multiply
    903.73x = 1,355.50 × 613.10
  4. Step 4: Simplify right side
    903.73x = 831,057.05
  5. Step 5: Solve for x
    x = 831,057.05/903.73
  6. Step 6: Final answer
    x = 919.59

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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.