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Finding the Fourth Proportional to 1,055.77, 1,456.05 and 682.63

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Solution

The fourth proportional to 1,055.77, 1,456.05 and 682.63 is: 941.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.77 : 1,456.05 = 682.63 : x
  2. Step 2: Convert to fraction form
    1,055.77/1,456.05 = 682.63/x
  3. Step 3: Cross multiply
    1,055.77x = 1,456.05 × 682.63
  4. Step 4: Simplify right side
    1,055.77x = 993,943.41
  5. Step 5: Solve for x
    x = 993,943.41/1,055.77
  6. Step 6: Final answer
    x = 941.44

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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.