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Finding the Fourth Proportional to 628.08, 867.60 and 512.16

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Solution

The fourth proportional to 628.08, 867.60 and 512.16 is: 707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.08 : 867.60 = 512.16 : x
  2. Step 2: Convert to fraction form
    628.08/867.60 = 512.16/x
  3. Step 3: Cross multiply
    628.08x = 867.60 × 512.16
  4. Step 4: Simplify right side
    628.08x = 444,350.02
  5. Step 5: Solve for x
    x = 444,350.02/628.08
  6. Step 6: Final answer
    x = 707.47

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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.