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Finding the Fourth Proportional to 587.54, 810.04 and 377.34

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Solution

The fourth proportional to 587.54, 810.04 and 377.34 is: 520.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.54 : 810.04 = 377.34 : x
  2. Step 2: Convert to fraction form
    587.54/810.04 = 377.34/x
  3. Step 3: Cross multiply
    587.54x = 810.04 × 377.34
  4. Step 4: Simplify right side
    587.54x = 305,660.49
  5. Step 5: Solve for x
    x = 305,660.49/587.54
  6. Step 6: Final answer
    x = 520.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.