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Finding the Fourth Proportional to 587.66, 814.73 and 554.85

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Solution

The fourth proportional to 587.66, 814.73 and 554.85 is: 769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.66 : 814.73 = 554.85 : x
  2. Step 2: Convert to fraction form
    587.66/814.73 = 554.85/x
  3. Step 3: Cross multiply
    587.66x = 814.73 × 554.85
  4. Step 4: Simplify right side
    587.66x = 452,050.17
  5. Step 5: Solve for x
    x = 452,050.17/587.66
  6. Step 6: Final answer
    x = 769.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.