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Finding the Fourth Proportional to 1,153.36, 1,592.76 and 821.80

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Solution

The fourth proportional to 1,153.36, 1,592.76 and 821.80 is: 1,134.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.36 : 1,592.76 = 821.80 : x
  2. Step 2: Convert to fraction form
    1,153.36/1,592.76 = 821.80/x
  3. Step 3: Cross multiply
    1,153.36x = 1,592.76 × 821.80
  4. Step 4: Simplify right side
    1,153.36x = 1,308,930.17
  5. Step 5: Solve for x
    x = 1,308,930.17/1,153.36
  6. Step 6: Final answer
    x = 1,134.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.