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Finding the Fourth Proportional to 947.22, 1,305.78 and 615.52

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Solution

The fourth proportional to 947.22, 1,305.78 and 615.52 is: 848.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.22 : 1,305.78 = 615.52 : x
  2. Step 2: Convert to fraction form
    947.22/1,305.78 = 615.52/x
  3. Step 3: Cross multiply
    947.22x = 1,305.78 × 615.52
  4. Step 4: Simplify right side
    947.22x = 803,733.71
  5. Step 5: Solve for x
    x = 803,733.71/947.22
  6. Step 6: Final answer
    x = 848.52

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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.