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Finding the Fourth Proportional to 983.16, 1,467.18 and 879.39

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Solution

The fourth proportional to 983.16, 1,467.18 and 879.39 is: 1,312.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.16 : 1,467.18 = 879.39 : x
  2. Step 2: Convert to fraction form
    983.16/1,467.18 = 879.39/x
  3. Step 3: Cross multiply
    983.16x = 1,467.18 × 879.39
  4. Step 4: Simplify right side
    983.16x = 1,290,223.42
  5. Step 5: Solve for x
    x = 1,290,223.42/983.16
  6. Step 6: Final answer
    x = 1,312.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.