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Finding the Fourth Proportional to 987.06, 1,361.53 and 588.45

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Solution

The fourth proportional to 987.06, 1,361.53 and 588.45 is: 811.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.06 : 1,361.53 = 588.45 : x
  2. Step 2: Convert to fraction form
    987.06/1,361.53 = 588.45/x
  3. Step 3: Cross multiply
    987.06x = 1,361.53 × 588.45
  4. Step 4: Simplify right side
    987.06x = 801,187.96
  5. Step 5: Solve for x
    x = 801,187.96/987.06
  6. Step 6: Final answer
    x = 811.69

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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.