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Finding the Fourth Proportional to 794.07, 1,095.53 and 499.74

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Solution

The fourth proportional to 794.07, 1,095.53 and 499.74 is: 689.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.07 : 1,095.53 = 499.74 : x
  2. Step 2: Convert to fraction form
    794.07/1,095.53 = 499.74/x
  3. Step 3: Cross multiply
    794.07x = 1,095.53 × 499.74
  4. Step 4: Simplify right side
    794.07x = 547,473.56
  5. Step 5: Solve for x
    x = 547,473.56/794.07
  6. Step 6: Final answer
    x = 689.45

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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.