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Finding the Fourth Proportional to 1,437.91, 1,984.31 and 816.91

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Solution

The fourth proportional to 1,437.91, 1,984.31 and 816.91 is: 1,127.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.91 : 1,984.31 = 816.91 : x
  2. Step 2: Convert to fraction form
    1,437.91/1,984.31 = 816.91/x
  3. Step 3: Cross multiply
    1,437.91x = 1,984.31 × 816.91
  4. Step 4: Simplify right side
    1,437.91x = 1,621,002.68
  5. Step 5: Solve for x
    x = 1,621,002.68/1,437.91
  6. Step 6: Final answer
    x = 1,127.33

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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.