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Finding the Fourth Proportional to 628.32, 866.08 and 503.76

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Solution

The fourth proportional to 628.32, 866.08 and 503.76 is: 694.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.32 : 866.08 = 503.76 : x
  2. Step 2: Convert to fraction form
    628.32/866.08 = 503.76/x
  3. Step 3: Cross multiply
    628.32x = 866.08 × 503.76
  4. Step 4: Simplify right side
    628.32x = 436,296.46
  5. Step 5: Solve for x
    x = 436,296.46/628.32
  6. Step 6: Final answer
    x = 694.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.