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Finding the Fourth Proportional to 903.68, 1,355.52 and 519.04

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Solution

The fourth proportional to 903.68, 1,355.52 and 519.04 is: 778.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.68 : 1,355.52 = 519.04 : x
  2. Step 2: Convert to fraction form
    903.68/1,355.52 = 519.04/x
  3. Step 3: Cross multiply
    903.68x = 1,355.52 × 519.04
  4. Step 4: Simplify right side
    903.68x = 703,569.10
  5. Step 5: Solve for x
    x = 703,569.10/903.68
  6. Step 6: Final answer
    x = 778.56

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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.