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Finding the Fourth Proportional to 981.19, 1,352.94 and 715.16

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Solution

The fourth proportional to 981.19, 1,352.94 and 715.16 is: 986.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.19 : 1,352.94 = 715.16 : x
  2. Step 2: Convert to fraction form
    981.19/1,352.94 = 715.16/x
  3. Step 3: Cross multiply
    981.19x = 1,352.94 × 715.16
  4. Step 4: Simplify right side
    981.19x = 967,564.99
  5. Step 5: Solve for x
    x = 967,564.99/981.19
  6. Step 6: Final answer
    x = 986.11

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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.