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Finding the Fourth Proportional to 947.44, 1,306.56 and 807.40

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Solution

The fourth proportional to 947.44, 1,306.56 and 807.40 is: 1,113.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.44 : 1,306.56 = 807.40 : x
  2. Step 2: Convert to fraction form
    947.44/1,306.56 = 807.40/x
  3. Step 3: Cross multiply
    947.44x = 1,306.56 × 807.40
  4. Step 4: Simplify right side
    947.44x = 1,054,916.54
  5. Step 5: Solve for x
    x = 1,054,916.54/947.44
  6. Step 6: Final answer
    x = 1,113.44

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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.