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Finding the Fourth Proportional to 1,133, 1,563.54 and 661.22

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Solution

The fourth proportional to 1,133, 1,563.54 and 661.22 is: 912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133 : 1,563.54 = 661.22 : x
  2. Step 2: Convert to fraction form
    1,133/1,563.54 = 661.22/x
  3. Step 3: Cross multiply
    1,133x = 1,563.54 × 661.22
  4. Step 4: Simplify right side
    1,133x = 1,033,848.35
  5. Step 5: Solve for x
    x = 1,033,848.35/1,133
  6. Step 6: Final answer
    x = 912.49

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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.