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Finding the Fourth Proportional to 507.24, 761.10 and 312.47

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Solution

The fourth proportional to 507.24, 761.10 and 312.47 is: 468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.24 : 761.10 = 312.47 : x
  2. Step 2: Convert to fraction form
    507.24/761.10 = 312.47/x
  3. Step 3: Cross multiply
    507.24x = 761.10 × 312.47
  4. Step 4: Simplify right side
    507.24x = 237,817.11
  5. Step 5: Solve for x
    x = 237,817.11/507.24
  6. Step 6: Final answer
    x = 468.85

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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.