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Finding the Fourth Proportional to 972.86, 1,451.97 and 890.24

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Solution

The fourth proportional to 972.86, 1,451.97 and 890.24 is: 1,328.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.86 : 1,451.97 = 890.24 : x
  2. Step 2: Convert to fraction form
    972.86/1,451.97 = 890.24/x
  3. Step 3: Cross multiply
    972.86x = 1,451.97 × 890.24
  4. Step 4: Simplify right side
    972.86x = 1,292,594.51
  5. Step 5: Solve for x
    x = 1,292,594.51/972.86
  6. Step 6: Final answer
    x = 1,328.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.