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Finding the Fourth Proportional to 778.72, 1,170.10 and 585.55

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Solution

The fourth proportional to 778.72, 1,170.10 and 585.55 is: 879.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.72 : 1,170.10 = 585.55 : x
  2. Step 2: Convert to fraction form
    778.72/1,170.10 = 585.55/x
  3. Step 3: Cross multiply
    778.72x = 1,170.10 × 585.55
  4. Step 4: Simplify right side
    778.72x = 685,148.40
  5. Step 5: Solve for x
    x = 685,148.40/778.72
  6. Step 6: Final answer
    x = 879.83

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Double scale
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1.5x scale

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.