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Finding the Fourth Proportional to 927.60, 1,389.84 and 893.76

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Solution

The fourth proportional to 927.60, 1,389.84 and 893.76 is: 1,339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.60 : 1,389.84 = 893.76 : x
  2. Step 2: Convert to fraction form
    927.60/1,389.84 = 893.76/x
  3. Step 3: Cross multiply
    927.60x = 1,389.84 × 893.76
  4. Step 4: Simplify right side
    927.60x = 1,242,183.40
  5. Step 5: Solve for x
    x = 1,242,183.40/927.60
  6. Step 6: Final answer
    x = 1,339.14

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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.