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Finding the Fourth Proportional to 903.59, 1,355.88 and 492.75

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Solution

The fourth proportional to 903.59, 1,355.88 and 492.75 is: 739.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.59 : 1,355.88 = 492.75 : x
  2. Step 2: Convert to fraction form
    903.59/1,355.88 = 492.75/x
  3. Step 3: Cross multiply
    903.59x = 1,355.88 × 492.75
  4. Step 4: Simplify right side
    903.59x = 668,109.87
  5. Step 5: Solve for x
    x = 668,109.87/903.59
  6. Step 6: Final answer
    x = 739.39

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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.