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Finding the Fourth Proportional to 902.95, 1,355.94 and 558.29

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Solution

The fourth proportional to 902.95, 1,355.94 and 558.29 is: 838.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.95 : 1,355.94 = 558.29 : x
  2. Step 2: Convert to fraction form
    902.95/1,355.94 = 558.29/x
  3. Step 3: Cross multiply
    902.95x = 1,355.94 × 558.29
  4. Step 4: Simplify right side
    902.95x = 757,011.13
  5. Step 5: Solve for x
    x = 757,011.13/902.95
  6. Step 6: Final answer
    x = 838.38

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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.