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Finding the Fourth Proportional to 507.12, 764.13 and 417.81

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Solution

The fourth proportional to 507.12, 764.13 and 417.81 is: 629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.12 : 764.13 = 417.81 : x
  2. Step 2: Convert to fraction form
    507.12/764.13 = 417.81/x
  3. Step 3: Cross multiply
    507.12x = 764.13 × 417.81
  4. Step 4: Simplify right side
    507.12x = 319,261.16
  5. Step 5: Solve for x
    x = 319,261.16/507.12
  6. Step 6: Final answer
    x = 629.56

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.