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Finding the Fourth Proportional to 1,053.86, 1,455.49 and 661.11

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Solution

The fourth proportional to 1,053.86, 1,455.49 and 661.11 is: 913.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.86 : 1,455.49 = 661.11 : x
  2. Step 2: Convert to fraction form
    1,053.86/1,455.49 = 661.11/x
  3. Step 3: Cross multiply
    1,053.86x = 1,455.49 × 661.11
  4. Step 4: Simplify right side
    1,053.86x = 962,244.41
  5. Step 5: Solve for x
    x = 962,244.41/1,053.86
  6. Step 6: Final answer
    x = 913.07

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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.