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Finding the Fourth Proportional to 1,491.71, 2,058.45 and 828.47

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Solution

The fourth proportional to 1,491.71, 2,058.45 and 828.47 is: 1,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.71 : 2,058.45 = 828.47 : x
  2. Step 2: Convert to fraction form
    1,491.71/2,058.45 = 828.47/x
  3. Step 3: Cross multiply
    1,491.71x = 2,058.45 × 828.47
  4. Step 4: Simplify right side
    1,491.71x = 1,705,353.78
  5. Step 5: Solve for x
    x = 1,705,353.78/1,491.71
  6. Step 6: Final answer
    x = 1,143.22

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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.