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Finding the Fourth Proportional to 795.04, 1,096.61 and 780.46

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Solution

The fourth proportional to 795.04, 1,096.61 and 780.46 is: 1,076.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.04 : 1,096.61 = 780.46 : x
  2. Step 2: Convert to fraction form
    795.04/1,096.61 = 780.46/x
  3. Step 3: Cross multiply
    795.04x = 1,096.61 × 780.46
  4. Step 4: Simplify right side
    795.04x = 855,853.60
  5. Step 5: Solve for x
    x = 855,853.60/795.04
  6. Step 6: Final answer
    x = 1,076.49

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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.