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Finding the Fourth Proportional to 923.85, 1,390.99 and 814.86

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Solution

The fourth proportional to 923.85, 1,390.99 and 814.86 is: 1,226.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.85 : 1,390.99 = 814.86 : x
  2. Step 2: Convert to fraction form
    923.85/1,390.99 = 814.86/x
  3. Step 3: Cross multiply
    923.85x = 1,390.99 × 814.86
  4. Step 4: Simplify right side
    923.85x = 1,133,462.11
  5. Step 5: Solve for x
    x = 1,133,462.11/923.85
  6. Step 6: Final answer
    x = 1,226.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.