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Finding the Fourth Proportional to 1,055.20, 1,455.86 and 613.02

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Solution

The fourth proportional to 1,055.20, 1,455.86 and 613.02 is: 845.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.20 : 1,455.86 = 613.02 : x
  2. Step 2: Convert to fraction form
    1,055.20/1,455.86 = 613.02/x
  3. Step 3: Cross multiply
    1,055.20x = 1,455.86 × 613.02
  4. Step 4: Simplify right side
    1,055.20x = 892,460.95
  5. Step 5: Solve for x
    x = 892,460.95/1,055.20
  6. Step 6: Final answer
    x = 845.77

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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.