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Finding the Fourth Proportional to 890.16, 1,327.88 and 853.28

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Solution

The fourth proportional to 890.16, 1,327.88 and 853.28 is: 1,272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.16 : 1,327.88 = 853.28 : x
  2. Step 2: Convert to fraction form
    890.16/1,327.88 = 853.28/x
  3. Step 3: Cross multiply
    890.16x = 1,327.88 × 853.28
  4. Step 4: Simplify right side
    890.16x = 1,133,053.45
  5. Step 5: Solve for x
    x = 1,133,053.45/890.16
  6. Step 6: Final answer
    x = 1,272.86

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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.