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Finding the Fourth Proportional to 1,014.48, 1,400.49 and 682.92

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Solution

The fourth proportional to 1,014.48, 1,400.49 and 682.92 is: 942.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.48 : 1,400.49 = 682.92 : x
  2. Step 2: Convert to fraction form
    1,014.48/1,400.49 = 682.92/x
  3. Step 3: Cross multiply
    1,014.48x = 1,400.49 × 682.92
  4. Step 4: Simplify right side
    1,014.48x = 956,422.63
  5. Step 5: Solve for x
    x = 956,422.63/1,014.48
  6. Step 6: Final answer
    x = 942.77

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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.