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Finding the Fourth Proportional to 930.99, 1,387.50 and 923.34

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Solution

The fourth proportional to 930.99, 1,387.50 and 923.34 is: 1,376.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.99 : 1,387.50 = 923.34 : x
  2. Step 2: Convert to fraction form
    930.99/1,387.50 = 923.34/x
  3. Step 3: Cross multiply
    930.99x = 1,387.50 × 923.34
  4. Step 4: Simplify right side
    930.99x = 1,281,134.25
  5. Step 5: Solve for x
    x = 1,281,134.25/930.99
  6. Step 6: Final answer
    x = 1,376.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.