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Finding the Fourth Proportional to 1,127.02, 1,555.32 and 661.27

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Solution

The fourth proportional to 1,127.02, 1,555.32 and 661.27 is: 912.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.02 : 1,555.32 = 661.27 : x
  2. Step 2: Convert to fraction form
    1,127.02/1,555.32 = 661.27/x
  3. Step 3: Cross multiply
    1,127.02x = 1,555.32 × 661.27
  4. Step 4: Simplify right side
    1,127.02x = 1,028,486.46
  5. Step 5: Solve for x
    x = 1,028,486.46/1,127.02
  6. Step 6: Final answer
    x = 912.57

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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.