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Finding the Fourth Proportional to 923.93, 1,383.15 and 557.61

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Solution

The fourth proportional to 923.93, 1,383.15 and 557.61 is: 834.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.93 : 1,383.15 = 557.61 : x
  2. Step 2: Convert to fraction form
    923.93/1,383.15 = 557.61/x
  3. Step 3: Cross multiply
    923.93x = 1,383.15 × 557.61
  4. Step 4: Simplify right side
    923.93x = 771,258.27
  5. Step 5: Solve for x
    x = 771,258.27/923.93
  6. Step 6: Final answer
    x = 834.76

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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.