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Finding the Fourth Proportional to 1,112.40, 1,534.86 and 646.38

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Solution

The fourth proportional to 1,112.40, 1,534.86 and 646.38 is: 891.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.40 : 1,534.86 = 646.38 : x
  2. Step 2: Convert to fraction form
    1,112.40/1,534.86 = 646.38/x
  3. Step 3: Cross multiply
    1,112.40x = 1,534.86 × 646.38
  4. Step 4: Simplify right side
    1,112.40x = 992,102.81
  5. Step 5: Solve for x
    x = 992,102.81/1,112.40
  6. Step 6: Final answer
    x = 891.86

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1.5x scale

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.