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Finding the Fourth Proportional to 507.68, 761.60 and 316.64

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Solution

The fourth proportional to 507.68, 761.60 and 316.64 is: 475.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.68 : 761.60 = 316.64 : x
  2. Step 2: Convert to fraction form
    507.68/761.60 = 316.64/x
  3. Step 3: Cross multiply
    507.68x = 761.60 × 316.64
  4. Step 4: Simplify right side
    507.68x = 241,153.02
  5. Step 5: Solve for x
    x = 241,153.02/507.68
  6. Step 6: Final answer
    x = 475.01

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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.