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Finding the Fourth Proportional to 920.89, 1,270.45 and 547.80

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Solution

The fourth proportional to 920.89, 1,270.45 and 547.80 is: 755.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.89 : 1,270.45 = 547.80 : x
  2. Step 2: Convert to fraction form
    920.89/1,270.45 = 547.80/x
  3. Step 3: Cross multiply
    920.89x = 1,270.45 × 547.80
  4. Step 4: Simplify right side
    920.89x = 695,952.51
  5. Step 5: Solve for x
    x = 695,952.51/920.89
  6. Step 6: Final answer
    x = 755.74

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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.