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Finding the Fourth Proportional to 705.38, 1,055.78 and 520.20

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Solution

The fourth proportional to 705.38, 1,055.78 and 520.20 is: 778.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.38 : 1,055.78 = 520.20 : x
  2. Step 2: Convert to fraction form
    705.38/1,055.78 = 520.20/x
  3. Step 3: Cross multiply
    705.38x = 1,055.78 × 520.20
  4. Step 4: Simplify right side
    705.38x = 549,214.16
  5. Step 5: Solve for x
    x = 549,214.16/705.38
  6. Step 6: Final answer
    x = 778.61

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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.