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Finding the Fourth Proportional to 794.30, 1,096.14 and 479.58

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Solution

The fourth proportional to 794.30, 1,096.14 and 479.58 is: 661.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.30 : 1,096.14 = 479.58 : x
  2. Step 2: Convert to fraction form
    794.30/1,096.14 = 479.58/x
  3. Step 3: Cross multiply
    794.30x = 1,096.14 × 479.58
  4. Step 4: Simplify right side
    794.30x = 525,686.82
  5. Step 5: Solve for x
    x = 525,686.82/794.30
  6. Step 6: Final answer
    x = 661.82

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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.