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Finding the Fourth Proportional to 703.93, 1,054.68 and 520.48

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Solution

The fourth proportional to 703.93, 1,054.68 and 520.48 is: 779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.93 : 1,054.68 = 520.48 : x
  2. Step 2: Convert to fraction form
    703.93/1,054.68 = 520.48/x
  3. Step 3: Cross multiply
    703.93x = 1,054.68 × 520.48
  4. Step 4: Simplify right side
    703.93x = 548,939.85
  5. Step 5: Solve for x
    x = 548,939.85/703.93
  6. Step 6: Final answer
    x = 779.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.