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Finding the Fourth Proportional to 970.26, 1,456.74 and 926.22

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Solution

The fourth proportional to 970.26, 1,456.74 and 926.22 is: 1,390.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.26 : 1,456.74 = 926.22 : x
  2. Step 2: Convert to fraction form
    970.26/1,456.74 = 926.22/x
  3. Step 3: Cross multiply
    970.26x = 1,456.74 × 926.22
  4. Step 4: Simplify right side
    970.26x = 1,349,261.72
  5. Step 5: Solve for x
    x = 1,349,261.72/970.26
  6. Step 6: Final answer
    x = 1,390.62

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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.