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Finding the Fourth Proportional to 970.51, 1,454.92 and 662.96

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Solution

The fourth proportional to 970.51, 1,454.92 and 662.96 is: 993.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.51 : 1,454.92 = 662.96 : x
  2. Step 2: Convert to fraction form
    970.51/1,454.92 = 662.96/x
  3. Step 3: Cross multiply
    970.51x = 1,454.92 × 662.96
  4. Step 4: Simplify right side
    970.51x = 964,553.76
  5. Step 5: Solve for x
    x = 964,553.76/970.51
  6. Step 6: Final answer
    x = 993.86

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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.