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Finding the Fourth Proportional to 666.63, 919.10 and 456.50

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Solution

The fourth proportional to 666.63, 919.10 and 456.50 is: 629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.63 : 919.10 = 456.50 : x
  2. Step 2: Convert to fraction form
    666.63/919.10 = 456.50/x
  3. Step 3: Cross multiply
    666.63x = 919.10 × 456.50
  4. Step 4: Simplify right side
    666.63x = 419,562.27
  5. Step 5: Solve for x
    x = 419,562.27/666.63
  6. Step 6: Final answer
    x = 629.38

Related Problems

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Half scale
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Double scale
Find fourth proportional to 667.63, 920.47 and 457.50
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.