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Finding the Fourth Proportional to 923.87, 1,387.11 and 907.46

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Solution

The fourth proportional to 923.87, 1,387.11 and 907.46 is: 1,362.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.87 : 1,387.11 = 907.46 : x
  2. Step 2: Convert to fraction form
    923.87/1,387.11 = 907.46/x
  3. Step 3: Cross multiply
    923.87x = 1,387.11 × 907.46
  4. Step 4: Simplify right side
    923.87x = 1,258,746.84
  5. Step 5: Solve for x
    x = 1,258,746.84/923.87
  6. Step 6: Final answer
    x = 1,362.47

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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.