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Finding the Fourth Proportional to 926.18, 1,278.30 and 552.98

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Solution

The fourth proportional to 926.18, 1,278.30 and 552.98 is: 763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.18 : 1,278.30 = 552.98 : x
  2. Step 2: Convert to fraction form
    926.18/1,278.30 = 552.98/x
  3. Step 3: Cross multiply
    926.18x = 1,278.30 × 552.98
  4. Step 4: Simplify right side
    926.18x = 706,867.94
  5. Step 5: Solve for x
    x = 706,867.94/926.18
  6. Step 6: Final answer
    x = 763.21

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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.