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Finding the Fourth Proportional to 1,117.56, 1,541.72 and 786.20

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Solution

The fourth proportional to 1,117.56, 1,541.72 and 786.20 is: 1,084.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.56 : 1,541.72 = 786.20 : x
  2. Step 2: Convert to fraction form
    1,117.56/1,541.72 = 786.20/x
  3. Step 3: Cross multiply
    1,117.56x = 1,541.72 × 786.20
  4. Step 4: Simplify right side
    1,117.56x = 1,212,100.26
  5. Step 5: Solve for x
    x = 1,212,100.26/1,117.56
  6. Step 6: Final answer
    x = 1,084.60

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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.