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Finding the Fourth Proportional to 936.15, 1,292.05 and 586.63

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Solution

The fourth proportional to 936.15, 1,292.05 and 586.63 is: 809.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.15 : 1,292.05 = 586.63 : x
  2. Step 2: Convert to fraction form
    936.15/1,292.05 = 586.63/x
  3. Step 3: Cross multiply
    936.15x = 1,292.05 × 586.63
  4. Step 4: Simplify right side
    936.15x = 757,955.29
  5. Step 5: Solve for x
    x = 757,955.29/936.15
  6. Step 6: Final answer
    x = 809.65

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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.