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Finding the Fourth Proportional to 587.71, 810.75 and 401.05

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Solution

The fourth proportional to 587.71, 810.75 and 401.05 is: 553.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.71 : 810.75 = 401.05 : x
  2. Step 2: Convert to fraction form
    587.71/810.75 = 401.05/x
  3. Step 3: Cross multiply
    587.71x = 810.75 × 401.05
  4. Step 4: Simplify right side
    587.71x = 325,151.29
  5. Step 5: Solve for x
    x = 325,151.29/587.71
  6. Step 6: Final answer
    x = 553.25

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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.