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Finding the Fourth Proportional to 1,214.77, 1,821.74 and 521.01

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Solution

The fourth proportional to 1,214.77, 1,821.74 and 521.01 is: 781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.77 : 1,821.74 = 521.01 : x
  2. Step 2: Convert to fraction form
    1,214.77/1,821.74 = 521.01/x
  3. Step 3: Cross multiply
    1,214.77x = 1,821.74 × 521.01
  4. Step 4: Simplify right side
    1,214.77x = 949,139.96
  5. Step 5: Solve for x
    x = 949,139.96/1,214.77
  6. Step 6: Final answer
    x = 781.33

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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.