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Finding the Fourth Proportional to 792.36, 1,182.72 and 690.36

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Solution

The fourth proportional to 792.36, 1,182.72 and 690.36 is: 1,030.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.36 : 1,182.72 = 690.36 : x
  2. Step 2: Convert to fraction form
    792.36/1,182.72 = 690.36/x
  3. Step 3: Cross multiply
    792.36x = 1,182.72 × 690.36
  4. Step 4: Simplify right side
    792.36x = 816,502.58
  5. Step 5: Solve for x
    x = 816,502.58/792.36
  6. Step 6: Final answer
    x = 1,030.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.