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Finding the Fourth Proportional to 1,024.47, 1,411.74 and 729.27

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Solution

The fourth proportional to 1,024.47, 1,411.74 and 729.27 is: 1,004.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.47 : 1,411.74 = 729.27 : x
  2. Step 2: Convert to fraction form
    1,024.47/1,411.74 = 729.27/x
  3. Step 3: Cross multiply
    1,024.47x = 1,411.74 × 729.27
  4. Step 4: Simplify right side
    1,024.47x = 1,029,539.63
  5. Step 5: Solve for x
    x = 1,029,539.63/1,024.47
  6. Step 6: Final answer
    x = 1,004.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.