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Finding the Fourth Proportional to 979.16, 1,467.72 and 734.94

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Solution

The fourth proportional to 979.16, 1,467.72 and 734.94 is: 1,101.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.16 : 1,467.72 = 734.94 : x
  2. Step 2: Convert to fraction form
    979.16/1,467.72 = 734.94/x
  3. Step 3: Cross multiply
    979.16x = 1,467.72 × 734.94
  4. Step 4: Simplify right side
    979.16x = 1,078,686.14
  5. Step 5: Solve for x
    x = 1,078,686.14/979.16
  6. Step 6: Final answer
    x = 1,101.65

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Why These Related Problems?

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