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Finding the Fourth Proportional to 1,055.63, 1,455.12 and 723.53

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Solution

The fourth proportional to 1,055.63, 1,455.12 and 723.53 is: 997.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.63 : 1,455.12 = 723.53 : x
  2. Step 2: Convert to fraction form
    1,055.63/1,455.12 = 723.53/x
  3. Step 3: Cross multiply
    1,055.63x = 1,455.12 × 723.53
  4. Step 4: Simplify right side
    1,055.63x = 1,052,815.70
  5. Step 5: Solve for x
    x = 1,052,815.70/1,055.63
  6. Step 6: Final answer
    x = 997.34

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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.