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Finding the Fourth Proportional to 903.97, 1,355.86 and 613.34

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Solution

The fourth proportional to 903.97, 1,355.86 and 613.34 is: 919.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.97 : 1,355.86 = 613.34 : x
  2. Step 2: Convert to fraction form
    903.97/1,355.86 = 613.34/x
  3. Step 3: Cross multiply
    903.97x = 1,355.86 × 613.34
  4. Step 4: Simplify right side
    903.97x = 831,598.79
  5. Step 5: Solve for x
    x = 831,598.79/903.97
  6. Step 6: Final answer
    x = 919.94

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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.