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Finding the Fourth Proportional to 977.83, 1,469.54 and 814.32

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Solution

The fourth proportional to 977.83, 1,469.54 and 814.32 is: 1,223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.83 : 1,469.54 = 814.32 : x
  2. Step 2: Convert to fraction form
    977.83/1,469.54 = 814.32/x
  3. Step 3: Cross multiply
    977.83x = 1,469.54 × 814.32
  4. Step 4: Simplify right side
    977.83x = 1,196,677.85
  5. Step 5: Solve for x
    x = 1,196,677.85/977.83
  6. Step 6: Final answer
    x = 1,223.81

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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.