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Finding the Fourth Proportional to 970.05, 1,446.93 and 890.44

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Solution

The fourth proportional to 970.05, 1,446.93 and 890.44 is: 1,328.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.05 : 1,446.93 = 890.44 : x
  2. Step 2: Convert to fraction form
    970.05/1,446.93 = 890.44/x
  3. Step 3: Cross multiply
    970.05x = 1,446.93 × 890.44
  4. Step 4: Simplify right side
    970.05x = 1,288,402.12
  5. Step 5: Solve for x
    x = 1,288,402.12/970.05
  6. Step 6: Final answer
    x = 1,328.19

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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.