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Finding the Fourth Proportional to 666.76, 919.78 and 459.72

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Solution

The fourth proportional to 666.76, 919.78 and 459.72 is: 634.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.76 : 919.78 = 459.72 : x
  2. Step 2: Convert to fraction form
    666.76/919.78 = 459.72/x
  3. Step 3: Cross multiply
    666.76x = 919.78 × 459.72
  4. Step 4: Simplify right side
    666.76x = 422,841.26
  5. Step 5: Solve for x
    x = 422,841.26/666.76
  6. Step 6: Final answer
    x = 634.17

Related Problems

Find fourth proportional to 333.38, 459.89 and 229.86
Half scale
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Double scale
Find fourth proportional to 667.76, 921.16 and 460.72
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.