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Finding the Fourth Proportional to 1,102.90, 1,656.63 and 1,066

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Solution

The fourth proportional to 1,102.90, 1,656.63 and 1,066 is: 1,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.90 : 1,656.63 = 1,066 : x
  2. Step 2: Convert to fraction form
    1,102.90/1,656.63 = 1,066/x
  3. Step 3: Cross multiply
    1,102.90x = 1,656.63 × 1,066
  4. Step 4: Simplify right side
    1,102.90x = 1,765,967.58
  5. Step 5: Solve for x
    x = 1,765,967.58/1,102.90
  6. Step 6: Final answer
    x = 1,601.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.