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Finding the Fourth Proportional to 976.78, 1,348.40 and 623.18

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Solution

The fourth proportional to 976.78, 1,348.40 and 623.18 is: 860.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.78 : 1,348.40 = 623.18 : x
  2. Step 2: Convert to fraction form
    976.78/1,348.40 = 623.18/x
  3. Step 3: Cross multiply
    976.78x = 1,348.40 × 623.18
  4. Step 4: Simplify right side
    976.78x = 840,295.91
  5. Step 5: Solve for x
    x = 840,295.91/976.78
  6. Step 6: Final answer
    x = 860.27

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Double scale
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1.5x scale

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.