Home / 1,471.19-2,206.35-649.25

Finding the Fourth Proportional to 1,471.19, 2,206.35 and 649.25

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Solution

The fourth proportional to 1,471.19, 2,206.35 and 649.25 is: 973.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.19 : 2,206.35 = 649.25 : x
  2. Step 2: Convert to fraction form
    1,471.19/2,206.35 = 649.25/x
  3. Step 3: Cross multiply
    1,471.19x = 2,206.35 × 649.25
  4. Step 4: Simplify right side
    1,471.19x = 1,432,472.74
  5. Step 5: Solve for x
    x = 1,432,472.74/1,471.19
  6. Step 6: Final answer
    x = 973.68

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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.