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Finding the Fourth Proportional to 511.69, 705.93 and 314.86

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Solution

The fourth proportional to 511.69, 705.93 and 314.86 is: 434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.69 : 705.93 = 314.86 : x
  2. Step 2: Convert to fraction form
    511.69/705.93 = 314.86/x
  3. Step 3: Cross multiply
    511.69x = 705.93 × 314.86
  4. Step 4: Simplify right side
    511.69x = 222,269.12
  5. Step 5: Solve for x
    x = 222,269.12/511.69
  6. Step 6: Final answer
    x = 434.38

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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.