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Finding the Fourth Proportional to 925.89, 1,389.15 and 492.75

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Solution

The fourth proportional to 925.89, 1,389.15 and 492.75 is: 739.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.89 : 1,389.15 = 492.75 : x
  2. Step 2: Convert to fraction form
    925.89/1,389.15 = 492.75/x
  3. Step 3: Cross multiply
    925.89x = 1,389.15 × 492.75
  4. Step 4: Simplify right side
    925.89x = 684,503.66
  5. Step 5: Solve for x
    x = 684,503.66/925.89
  6. Step 6: Final answer
    x = 739.29

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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.