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Finding the Fourth Proportional to 633.83, 948.53 and 502.67

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Solution

The fourth proportional to 633.83, 948.53 and 502.67 is: 752.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.83 : 948.53 = 502.67 : x
  2. Step 2: Convert to fraction form
    633.83/948.53 = 502.67/x
  3. Step 3: Cross multiply
    633.83x = 948.53 × 502.67
  4. Step 4: Simplify right side
    633.83x = 476,790.32
  5. Step 5: Solve for x
    x = 476,790.32/633.83
  6. Step 6: Final answer
    x = 752.24

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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.