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Finding the Fourth Proportional to 1,116.66, 1,541.04 and 697.01

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Solution

The fourth proportional to 1,116.66, 1,541.04 and 697.01 is: 961.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.66 : 1,541.04 = 697.01 : x
  2. Step 2: Convert to fraction form
    1,116.66/1,541.04 = 697.01/x
  3. Step 3: Cross multiply
    1,116.66x = 1,541.04 × 697.01
  4. Step 4: Simplify right side
    1,116.66x = 1,074,120.29
  5. Step 5: Solve for x
    x = 1,074,120.29/1,116.66
  6. Step 6: Final answer
    x = 961.90

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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.