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Finding the Fourth Proportional to 1,435.28, 2,152.71 and 461.26

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Solution

The fourth proportional to 1,435.28, 2,152.71 and 461.26 is: 691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.28 : 2,152.71 = 461.26 : x
  2. Step 2: Convert to fraction form
    1,435.28/2,152.71 = 461.26/x
  3. Step 3: Cross multiply
    1,435.28x = 2,152.71 × 461.26
  4. Step 4: Simplify right side
    1,435.28x = 992,959.01
  5. Step 5: Solve for x
    x = 992,959.01/1,435.28
  6. Step 6: Final answer
    x = 691.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.