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Finding the Fourth Proportional to 925.56, 1,386.32 and 899.64

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Solution

The fourth proportional to 925.56, 1,386.32 and 899.64 is: 1,347.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.56 : 1,386.32 = 899.64 : x
  2. Step 2: Convert to fraction form
    925.56/1,386.32 = 899.64/x
  3. Step 3: Cross multiply
    925.56x = 1,386.32 × 899.64
  4. Step 4: Simplify right side
    925.56x = 1,247,184.43
  5. Step 5: Solve for x
    x = 1,247,184.43/925.56
  6. Step 6: Final answer
    x = 1,347.49

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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.