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Finding the Fourth Proportional to 628.69, 867.44 and 407.61

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Solution

The fourth proportional to 628.69, 867.44 and 407.61 is: 562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.69 : 867.44 = 407.61 : x
  2. Step 2: Convert to fraction form
    628.69/867.44 = 407.61/x
  3. Step 3: Cross multiply
    628.69x = 867.44 × 407.61
  4. Step 4: Simplify right side
    628.69x = 353,577.22
  5. Step 5: Solve for x
    x = 353,577.22/628.69
  6. Step 6: Final answer
    x = 562.40

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Double scale
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1.5x scale

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.