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Finding the Fourth Proportional to 662.70, 914.76 and 466.32

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Solution

The fourth proportional to 662.70, 914.76 and 466.32 is: 643.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.70 : 914.76 = 466.32 : x
  2. Step 2: Convert to fraction form
    662.70/914.76 = 466.32/x
  3. Step 3: Cross multiply
    662.70x = 914.76 × 466.32
  4. Step 4: Simplify right side
    662.70x = 426,570.88
  5. Step 5: Solve for x
    x = 426,570.88/662.70
  6. Step 6: Final answer
    x = 643.69

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Half scale
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Double scale
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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.