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Finding the Fourth Proportional to 719.52, 992.72 and 486.88

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Solution

The fourth proportional to 719.52, 992.72 and 486.88 is: 671.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.52 : 992.72 = 486.88 : x
  2. Step 2: Convert to fraction form
    719.52/992.72 = 486.88/x
  3. Step 3: Cross multiply
    719.52x = 992.72 × 486.88
  4. Step 4: Simplify right side
    719.52x = 483,335.51
  5. Step 5: Solve for x
    x = 483,335.51/719.52
  6. Step 6: Final answer
    x = 671.75

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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.