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Finding the Fourth Proportional to 1,112.16, 1,534.86 and 646.68

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Solution

The fourth proportional to 1,112.16, 1,534.86 and 646.68 is: 892.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.16 : 1,534.86 = 646.68 : x
  2. Step 2: Convert to fraction form
    1,112.16/1,534.86 = 646.68/x
  3. Step 3: Cross multiply
    1,112.16x = 1,534.86 × 646.68
  4. Step 4: Simplify right side
    1,112.16x = 992,563.26
  5. Step 5: Solve for x
    x = 992,563.26/1,112.16
  6. Step 6: Final answer
    x = 892.46

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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.