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Finding the Fourth Proportional to 913.68, 1,369.91 and 588.87

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Solution

The fourth proportional to 913.68, 1,369.91 and 588.87 is: 882.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.68 : 1,369.91 = 588.87 : x
  2. Step 2: Convert to fraction form
    913.68/1,369.91 = 588.87/x
  3. Step 3: Cross multiply
    913.68x = 1,369.91 × 588.87
  4. Step 4: Simplify right side
    913.68x = 806,700.37
  5. Step 5: Solve for x
    x = 806,700.37/913.68
  6. Step 6: Final answer
    x = 882.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.