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Finding the Fourth Proportional to 1,661.55, 2,291.75 and 1,071.53

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Solution

The fourth proportional to 1,661.55, 2,291.75 and 1,071.53 is: 1,477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.55 : 2,291.75 = 1,071.53 : x
  2. Step 2: Convert to fraction form
    1,661.55/2,291.75 = 1,071.53/x
  3. Step 3: Cross multiply
    1,661.55x = 2,291.75 × 1,071.53
  4. Step 4: Simplify right side
    1,661.55x = 2,455,662.06
  5. Step 5: Solve for x
    x = 2,455,662.06/1,661.55
  6. Step 6: Final answer
    x = 1,477.93

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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.