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Finding the Fourth Proportional to 587.25, 876.33 and 509.49

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Solution

The fourth proportional to 587.25, 876.33 and 509.49 is: 760.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.25 : 876.33 = 509.49 : x
  2. Step 2: Convert to fraction form
    587.25/876.33 = 509.49/x
  3. Step 3: Cross multiply
    587.25x = 876.33 × 509.49
  4. Step 4: Simplify right side
    587.25x = 446,481.37
  5. Step 5: Solve for x
    x = 446,481.37/587.25
  6. Step 6: Final answer
    x = 760.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.