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Finding the Fourth Proportional to 1,133.90, 1,564.98 and 820.24

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Solution

The fourth proportional to 1,133.90, 1,564.98 and 820.24 is: 1,132.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.90 : 1,564.98 = 820.24 : x
  2. Step 2: Convert to fraction form
    1,133.90/1,564.98 = 820.24/x
  3. Step 3: Cross multiply
    1,133.90x = 1,564.98 × 820.24
  4. Step 4: Simplify right side
    1,133.90x = 1,283,659.20
  5. Step 5: Solve for x
    x = 1,283,659.20/1,133.90
  6. Step 6: Final answer
    x = 1,132.07

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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.