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Finding the Fourth Proportional to 1,040.51, 1,435.55 and 686.60

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Solution

The fourth proportional to 1,040.51, 1,435.55 and 686.60 is: 947.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.51 : 1,435.55 = 686.60 : x
  2. Step 2: Convert to fraction form
    1,040.51/1,435.55 = 686.60/x
  3. Step 3: Cross multiply
    1,040.51x = 1,435.55 × 686.60
  4. Step 4: Simplify right side
    1,040.51x = 985,653.94
  5. Step 5: Solve for x
    x = 985,653.94/1,040.51
  6. Step 6: Final answer
    x = 947.28

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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.