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Finding the Fourth Proportional to 931.59, 1,399.23 and 802.71

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Solution

The fourth proportional to 931.59, 1,399.23 and 802.71 is: 1,205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.59 : 1,399.23 = 802.71 : x
  2. Step 2: Convert to fraction form
    931.59/1,399.23 = 802.71/x
  3. Step 3: Cross multiply
    931.59x = 1,399.23 × 802.71
  4. Step 4: Simplify right side
    931.59x = 1,123,175.91
  5. Step 5: Solve for x
    x = 1,123,175.91/931.59
  6. Step 6: Final answer
    x = 1,205.65

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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.