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Finding the Fourth Proportional to 507.17, 696.15 and 450.67

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Solution

The fourth proportional to 507.17, 696.15 and 450.67 is: 618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.17 : 696.15 = 450.67 : x
  2. Step 2: Convert to fraction form
    507.17/696.15 = 450.67/x
  3. Step 3: Cross multiply
    507.17x = 696.15 × 450.67
  4. Step 4: Simplify right side
    507.17x = 313,733.92
  5. Step 5: Solve for x
    x = 313,733.92/507.17
  6. Step 6: Final answer
    x = 618.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.