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Finding the Fourth Proportional to 552.88, 761.12 and 483.84

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Solution

The fourth proportional to 552.88, 761.12 and 483.84 is: 666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.88 : 761.12 = 483.84 : x
  2. Step 2: Convert to fraction form
    552.88/761.12 = 483.84/x
  3. Step 3: Cross multiply
    552.88x = 761.12 × 483.84
  4. Step 4: Simplify right side
    552.88x = 368,260.30
  5. Step 5: Solve for x
    x = 368,260.30/552.88
  6. Step 6: Final answer
    x = 666.08

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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.