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Finding the Fourth Proportional to 505.69, 698.17 and 412.65

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Solution

The fourth proportional to 505.69, 698.17 and 412.65 is: 569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.69 : 698.17 = 412.65 : x
  2. Step 2: Convert to fraction form
    505.69/698.17 = 412.65/x
  3. Step 3: Cross multiply
    505.69x = 698.17 × 412.65
  4. Step 4: Simplify right side
    505.69x = 288,099.85
  5. Step 5: Solve for x
    x = 288,099.85/505.69
  6. Step 6: Final answer
    x = 569.72

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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.