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Finding the Fourth Proportional to 1,415.99, 1,954.22 and 856.77

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Solution

The fourth proportional to 1,415.99, 1,954.22 and 856.77 is: 1,182.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.99 : 1,954.22 = 856.77 : x
  2. Step 2: Convert to fraction form
    1,415.99/1,954.22 = 856.77/x
  3. Step 3: Cross multiply
    1,415.99x = 1,954.22 × 856.77
  4. Step 4: Simplify right side
    1,415.99x = 1,674,304.83
  5. Step 5: Solve for x
    x = 1,674,304.83/1,415.99
  6. Step 6: Final answer
    x = 1,182.43

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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.