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Finding the Fourth Proportional to 587.35, 814.25 and 556.13

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Solution

The fourth proportional to 587.35, 814.25 and 556.13 is: 770.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.35 : 814.25 = 556.13 : x
  2. Step 2: Convert to fraction form
    587.35/814.25 = 556.13/x
  3. Step 3: Cross multiply
    587.35x = 814.25 × 556.13
  4. Step 4: Simplify right side
    587.35x = 452,828.11
  5. Step 5: Solve for x
    x = 452,828.11/587.35
  6. Step 6: Final answer
    x = 770.97

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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.