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Finding the Fourth Proportional to 794.32, 1,095.78 and 514.60

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Solution

The fourth proportional to 794.32, 1,095.78 and 514.60 is: 709.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.32 : 1,095.78 = 514.60 : x
  2. Step 2: Convert to fraction form
    794.32/1,095.78 = 514.60/x
  3. Step 3: Cross multiply
    794.32x = 1,095.78 × 514.60
  4. Step 4: Simplify right side
    794.32x = 563,888.39
  5. Step 5: Solve for x
    x = 563,888.39/794.32
  6. Step 6: Final answer
    x = 709.90

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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.