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Finding the Fourth Proportional to 1,435.69, 2,153.54 and 409.69

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Solution

The fourth proportional to 1,435.69, 2,153.54 and 409.69 is: 614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.69 : 2,153.54 = 409.69 : x
  2. Step 2: Convert to fraction form
    1,435.69/2,153.54 = 409.69/x
  3. Step 3: Cross multiply
    1,435.69x = 2,153.54 × 409.69
  4. Step 4: Simplify right side
    1,435.69x = 882,276.37
  5. Step 5: Solve for x
    x = 882,276.37/1,435.69
  6. Step 6: Final answer
    x = 614.53

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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.