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Finding the Fourth Proportional to 1,066.90, 1,601.35 and 656.84

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Solution

The fourth proportional to 1,066.90, 1,601.35 and 656.84 is: 985.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.90 : 1,601.35 = 656.84 : x
  2. Step 2: Convert to fraction form
    1,066.90/1,601.35 = 656.84/x
  3. Step 3: Cross multiply
    1,066.90x = 1,601.35 × 656.84
  4. Step 4: Simplify right side
    1,066.90x = 1,051,829.55
  5. Step 5: Solve for x
    x = 1,051,829.55/1,066.90
  6. Step 6: Final answer
    x = 985.87

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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.