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Finding the Fourth Proportional to 1,284.96, 1,931.23 and 1,066.99

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Solution

The fourth proportional to 1,284.96, 1,931.23 and 1,066.99 is: 1,603.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.96 : 1,931.23 = 1,066.99 : x
  2. Step 2: Convert to fraction form
    1,284.96/1,931.23 = 1,066.99/x
  3. Step 3: Cross multiply
    1,284.96x = 1,931.23 × 1,066.99
  4. Step 4: Simplify right side
    1,284.96x = 2,060,597.22
  5. Step 5: Solve for x
    x = 2,060,597.22/1,284.96
  6. Step 6: Final answer
    x = 1,603.62

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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.