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Finding the Fourth Proportional to 970.47, 1,455.75 and 422.64

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Solution

The fourth proportional to 970.47, 1,455.75 and 422.64 is: 633.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.47 : 1,455.75 = 422.64 : x
  2. Step 2: Convert to fraction form
    970.47/1,455.75 = 422.64/x
  3. Step 3: Cross multiply
    970.47x = 1,455.75 × 422.64
  4. Step 4: Simplify right side
    970.47x = 615,258.18
  5. Step 5: Solve for x
    x = 615,258.18/970.47
  6. Step 6: Final answer
    x = 633.98

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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.