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Finding the Fourth Proportional to 628.02, 867.06 and 562.41

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Solution

The fourth proportional to 628.02, 867.06 and 562.41 is: 776.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.02 : 867.06 = 562.41 : x
  2. Step 2: Convert to fraction form
    628.02/867.06 = 562.41/x
  3. Step 3: Cross multiply
    628.02x = 867.06 × 562.41
  4. Step 4: Simplify right side
    628.02x = 487,643.21
  5. Step 5: Solve for x
    x = 487,643.21/628.02
  6. Step 6: Final answer
    x = 776.48

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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.