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Finding the Fourth Proportional to 794.15, 1,095.68 and 514.39

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Solution

The fourth proportional to 794.15, 1,095.68 and 514.39 is: 709.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.15 : 1,095.68 = 514.39 : x
  2. Step 2: Convert to fraction form
    794.15/1,095.68 = 514.39/x
  3. Step 3: Cross multiply
    794.15x = 1,095.68 × 514.39
  4. Step 4: Simplify right side
    794.15x = 563,605.38
  5. Step 5: Solve for x
    x = 563,605.38/794.15
  6. Step 6: Final answer
    x = 709.69

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1.5x scale

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.