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Finding the Fourth Proportional to 979.65, 1,351.93 and 586.60

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Solution

The fourth proportional to 979.65, 1,351.93 and 586.60 is: 809.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.65 : 1,351.93 = 586.60 : x
  2. Step 2: Convert to fraction form
    979.65/1,351.93 = 586.60/x
  3. Step 3: Cross multiply
    979.65x = 1,351.93 × 586.60
  4. Step 4: Simplify right side
    979.65x = 793,042.14
  5. Step 5: Solve for x
    x = 793,042.14/979.65
  6. Step 6: Final answer
    x = 809.52

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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.