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Finding the Fourth Proportional to 511.09, 705.44 and 314.77

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Solution

The fourth proportional to 511.09, 705.44 and 314.77 is: 434.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.09 : 705.44 = 314.77 : x
  2. Step 2: Convert to fraction form
    511.09/705.44 = 314.77/x
  3. Step 3: Cross multiply
    511.09x = 705.44 × 314.77
  4. Step 4: Simplify right side
    511.09x = 222,050.37
  5. Step 5: Solve for x
    x = 222,050.37/511.09
  6. Step 6: Final answer
    x = 434.46

Related Problems

Find fourth proportional to 255.55, 352.72 and 157.38
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Double scale
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Similar ratio
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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.