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Finding the Fourth Proportional to 979.26, 1,467.66 and 430.89

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Solution

The fourth proportional to 979.26, 1,467.66 and 430.89 is: 645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.26 : 1,467.66 = 430.89 : x
  2. Step 2: Convert to fraction form
    979.26/1,467.66 = 430.89/x
  3. Step 3: Cross multiply
    979.26x = 1,467.66 × 430.89
  4. Step 4: Simplify right side
    979.26x = 632,400.02
  5. Step 5: Solve for x
    x = 632,400.02/979.26
  6. Step 6: Final answer
    x = 645.79

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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.