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Finding the Fourth Proportional to 1,055.46, 1,454.14 and 736.12

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Solution

The fourth proportional to 1,055.46, 1,454.14 and 736.12 is: 1,014.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.46 : 1,454.14 = 736.12 : x
  2. Step 2: Convert to fraction form
    1,055.46/1,454.14 = 736.12/x
  3. Step 3: Cross multiply
    1,055.46x = 1,454.14 × 736.12
  4. Step 4: Simplify right side
    1,055.46x = 1,070,421.54
  5. Step 5: Solve for x
    x = 1,070,421.54/1,055.46
  6. Step 6: Final answer
    x = 1,014.18

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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.