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Finding the Fourth Proportional to 810.76, 1,217.36 and 464.49

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Solution

The fourth proportional to 810.76, 1,217.36 and 464.49 is: 697.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.76 : 1,217.36 = 464.49 : x
  2. Step 2: Convert to fraction form
    810.76/1,217.36 = 464.49/x
  3. Step 3: Cross multiply
    810.76x = 1,217.36 × 464.49
  4. Step 4: Simplify right side
    810.76x = 565,447.34
  5. Step 5: Solve for x
    x = 565,447.34/810.76
  6. Step 6: Final answer
    x = 697.43

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Half scale
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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.