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Finding the Fourth Proportional to 486.69, 668.36 and 416.74

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Solution

The fourth proportional to 486.69, 668.36 and 416.74 is: 572.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.69 : 668.36 = 416.74 : x
  2. Step 2: Convert to fraction form
    486.69/668.36 = 416.74/x
  3. Step 3: Cross multiply
    486.69x = 668.36 × 416.74
  4. Step 4: Simplify right side
    486.69x = 278,532.35
  5. Step 5: Solve for x
    x = 278,532.35/486.69
  6. Step 6: Final answer
    x = 572.30

Related Problems

Find fourth proportional to 243.35, 334.18 and 208.37
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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 (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.