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Finding the Fourth Proportional to 1,055.56, 1,460.10 and 892.36

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Solution

The fourth proportional to 1,055.56, 1,460.10 and 892.36 is: 1,234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.56 : 1,460.10 = 892.36 : x
  2. Step 2: Convert to fraction form
    1,055.56/1,460.10 = 892.36/x
  3. Step 3: Cross multiply
    1,055.56x = 1,460.10 × 892.36
  4. Step 4: Simplify right side
    1,055.56x = 1,302,934.84
  5. Step 5: Solve for x
    x = 1,302,934.84/1,055.56
  6. Step 6: Final answer
    x = 1,234.35

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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.