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Finding the Fourth Proportional to 1,435.93, 1,981.24 and 814.93

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Solution

The fourth proportional to 1,435.93, 1,981.24 and 814.93 is: 1,124.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.93 : 1,981.24 = 814.93 : x
  2. Step 2: Convert to fraction form
    1,435.93/1,981.24 = 814.93/x
  3. Step 3: Cross multiply
    1,435.93x = 1,981.24 × 814.93
  4. Step 4: Simplify right side
    1,435.93x = 1,614,571.91
  5. Step 5: Solve for x
    x = 1,614,571.91/1,435.93
  6. Step 6: Final answer
    x = 1,124.41

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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.