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Finding the Fourth Proportional to 1,111.68, 1,530.96 and 1,059.84

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Solution

The fourth proportional to 1,111.68, 1,530.96 and 1,059.84 is: 1,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.68 : 1,530.96 = 1,059.84 : x
  2. Step 2: Convert to fraction form
    1,111.68/1,530.96 = 1,059.84/x
  3. Step 3: Cross multiply
    1,111.68x = 1,530.96 × 1,059.84
  4. Step 4: Simplify right side
    1,111.68x = 1,622,572.65
  5. Step 5: Solve for x
    x = 1,622,572.65/1,111.68
  6. Step 6: Final answer
    x = 1,459.57

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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.