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Finding the Fourth Proportional to 970.08, 1,455.12 and 422.14

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Solution

The fourth proportional to 970.08, 1,455.12 and 422.14 is: 633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.08 : 1,455.12 = 422.14 : x
  2. Step 2: Convert to fraction form
    970.08/1,455.12 = 422.14/x
  3. Step 3: Cross multiply
    970.08x = 1,455.12 × 422.14
  4. Step 4: Simplify right side
    970.08x = 614,264.36
  5. Step 5: Solve for x
    x = 614,264.36/970.08
  6. Step 6: Final answer
    x = 633.21

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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.