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Finding the Fourth Proportional to 685.48, 946.02 and 587.56

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Solution

The fourth proportional to 685.48, 946.02 and 587.56 is: 810.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.48 : 946.02 = 587.56 : x
  2. Step 2: Convert to fraction form
    685.48/946.02 = 587.56/x
  3. Step 3: Cross multiply
    685.48x = 946.02 × 587.56
  4. Step 4: Simplify right side
    685.48x = 555,843.51
  5. Step 5: Solve for x
    x = 555,843.51/685.48
  6. Step 6: Final answer
    x = 810.88

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