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Finding the Fourth Proportional to 587.91, 810.90 and 401.13

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Solution

The fourth proportional to 587.91, 810.90 and 401.13 is: 553.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.91 : 810.90 = 401.13 : x
  2. Step 2: Convert to fraction form
    587.91/810.90 = 401.13/x
  3. Step 3: Cross multiply
    587.91x = 810.90 × 401.13
  4. Step 4: Simplify right side
    587.91x = 325,276.32
  5. Step 5: Solve for x
    x = 325,276.32/587.91
  6. Step 6: Final answer
    x = 553.28

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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.