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Finding the Fourth Proportional to 1,021.42, 1,529.70 and 816.15

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Solution

The fourth proportional to 1,021.42, 1,529.70 and 816.15 is: 1,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.42 : 1,529.70 = 816.15 : x
  2. Step 2: Convert to fraction form
    1,021.42/1,529.70 = 816.15/x
  3. Step 3: Cross multiply
    1,021.42x = 1,529.70 × 816.15
  4. Step 4: Simplify right side
    1,021.42x = 1,248,464.66
  5. Step 5: Solve for x
    x = 1,248,464.66/1,021.42
  6. Step 6: Final answer
    x = 1,222.28

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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.