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Finding the Fourth Proportional to 970.10, 1,455.70 and 422.34

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Solution

The fourth proportional to 970.10, 1,455.70 and 422.34 is: 633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.10 : 1,455.70 = 422.34 : x
  2. Step 2: Convert to fraction form
    970.10/1,455.70 = 422.34/x
  3. Step 3: Cross multiply
    970.10x = 1,455.70 × 422.34
  4. Step 4: Simplify right side
    970.10x = 614,800.34
  5. Step 5: Solve for x
    x = 614,800.34/970.10
  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.