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Finding the Fourth Proportional to 936.04, 1,291.80 and 586.68

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Solution

The fourth proportional to 936.04, 1,291.80 and 586.68 is: 809.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.04 : 1,291.80 = 586.68 : x
  2. Step 2: Convert to fraction form
    936.04/1,291.80 = 586.68/x
  3. Step 3: Cross multiply
    936.04x = 1,291.80 × 586.68
  4. Step 4: Simplify right side
    936.04x = 757,873.22
  5. Step 5: Solve for x
    x = 757,873.22/936.04
  6. Step 6: Final answer
    x = 809.66

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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.