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Finding the Fourth Proportional to 1,095.11, 1,511.20 and 597.72

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Solution

The fourth proportional to 1,095.11, 1,511.20 and 597.72 is: 824.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.11 : 1,511.20 = 597.72 : x
  2. Step 2: Convert to fraction form
    1,095.11/1,511.20 = 597.72/x
  3. Step 3: Cross multiply
    1,095.11x = 1,511.20 × 597.72
  4. Step 4: Simplify right side
    1,095.11x = 903,274.46
  5. Step 5: Solve for x
    x = 903,274.46/1,095.11
  6. Step 6: Final answer
    x = 824.83

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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.