Home / 1,412.06-2,117.57-474.75

Finding the Fourth Proportional to 1,412.06, 2,117.57 and 474.75

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Solution

The fourth proportional to 1,412.06, 2,117.57 and 474.75 is: 711.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.06 : 2,117.57 = 474.75 : x
  2. Step 2: Convert to fraction form
    1,412.06/2,117.57 = 474.75/x
  3. Step 3: Cross multiply
    1,412.06x = 2,117.57 × 474.75
  4. Step 4: Simplify right side
    1,412.06x = 1,005,313.98
  5. Step 5: Solve for x
    x = 1,005,313.98/1,412.06
  6. Step 6: Final answer
    x = 711.95

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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.