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Finding the Fourth Proportional to 970.56, 1,455.36 and 422.64

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Solution

The fourth proportional to 970.56, 1,455.36 and 422.64 is: 633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.56 : 1,455.36 = 422.64 : x
  2. Step 2: Convert to fraction form
    970.56/1,455.36 = 422.64/x
  3. Step 3: Cross multiply
    970.56x = 1,455.36 × 422.64
  4. Step 4: Simplify right side
    970.56x = 615,093.35
  5. Step 5: Solve for x
    x = 615,093.35/970.56
  6. Step 6: Final answer
    x = 633.75

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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.