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Finding the Fourth Proportional to 630.99, 944.86 and 507.02

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Solution

The fourth proportional to 630.99, 944.86 and 507.02 is: 759.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.99 : 944.86 = 507.02 : x
  2. Step 2: Convert to fraction form
    630.99/944.86 = 507.02/x
  3. Step 3: Cross multiply
    630.99x = 944.86 × 507.02
  4. Step 4: Simplify right side
    630.99x = 479,062.92
  5. Step 5: Solve for x
    x = 479,062.92/630.99
  6. Step 6: Final answer
    x = 759.22

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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.