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Finding the Fourth Proportional to 587.66, 810.61 and 388.49

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Solution

The fourth proportional to 587.66, 810.61 and 388.49 is: 535.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.66 : 810.61 = 388.49 : x
  2. Step 2: Convert to fraction form
    587.66/810.61 = 388.49/x
  3. Step 3: Cross multiply
    587.66x = 810.61 × 388.49
  4. Step 4: Simplify right side
    587.66x = 314,908.85
  5. Step 5: Solve for x
    x = 314,908.85/587.66
  6. Step 6: Final answer
    x = 535.87

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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.