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Finding the Fourth Proportional to 587.56, 810.51 and 476.84

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Solution

The fourth proportional to 587.56, 810.51 and 476.84 is: 657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.56 : 810.51 = 476.84 : x
  2. Step 2: Convert to fraction form
    587.56/810.51 = 476.84/x
  3. Step 3: Cross multiply
    587.56x = 810.51 × 476.84
  4. Step 4: Simplify right side
    587.56x = 386,480.73
  5. Step 5: Solve for x
    x = 386,480.73/587.56
  6. Step 6: Final answer
    x = 657.78

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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.