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Finding the Fourth Proportional to 633.30, 948.14 and 503.48

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Solution

The fourth proportional to 633.30, 948.14 and 503.48 is: 753.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.30 : 948.14 = 503.48 : x
  2. Step 2: Convert to fraction form
    633.30/948.14 = 503.48/x
  3. Step 3: Cross multiply
    633.30x = 948.14 × 503.48
  4. Step 4: Simplify right side
    633.30x = 477,362.27
  5. Step 5: Solve for x
    x = 477,362.27/633.30
  6. Step 6: Final answer
    x = 753.77

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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.