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Finding the Fourth Proportional to 1,130.24, 1,693.88 and 818.94

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Solution

The fourth proportional to 1,130.24, 1,693.88 and 818.94 is: 1,227.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.24 : 1,693.88 = 818.94 : x
  2. Step 2: Convert to fraction form
    1,130.24/1,693.88 = 818.94/x
  3. Step 3: Cross multiply
    1,130.24x = 1,693.88 × 818.94
  4. Step 4: Simplify right side
    1,130.24x = 1,387,186.09
  5. Step 5: Solve for x
    x = 1,387,186.09/1,130.24
  6. Step 6: Final answer
    x = 1,227.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.