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Finding the Fourth Proportional to 628.96, 866.64 and 473.44

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Solution

The fourth proportional to 628.96, 866.64 and 473.44 is: 652.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.96 : 866.64 = 473.44 : x
  2. Step 2: Convert to fraction form
    628.96/866.64 = 473.44/x
  3. Step 3: Cross multiply
    628.96x = 866.64 × 473.44
  4. Step 4: Simplify right side
    628.96x = 410,302.04
  5. Step 5: Solve for x
    x = 410,302.04/628.96
  6. Step 6: Final answer
    x = 652.35

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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.