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Finding the Fourth Proportional to 738.08, 1,106.40 and 628.64

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Solution

The fourth proportional to 738.08, 1,106.40 and 628.64 is: 942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.08 : 1,106.40 = 628.64 : x
  2. Step 2: Convert to fraction form
    738.08/1,106.40 = 628.64/x
  3. Step 3: Cross multiply
    738.08x = 1,106.40 × 628.64
  4. Step 4: Simplify right side
    738.08x = 695,527.30
  5. Step 5: Solve for x
    x = 695,527.30/738.08
  6. Step 6: Final answer
    x = 942.35

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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.