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Finding the Fourth Proportional to 1,124.47, 1,686.84 and 393.99

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Solution

The fourth proportional to 1,124.47, 1,686.84 and 393.99 is: 591.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.47 : 1,686.84 = 393.99 : x
  2. Step 2: Convert to fraction form
    1,124.47/1,686.84 = 393.99/x
  3. Step 3: Cross multiply
    1,124.47x = 1,686.84 × 393.99
  4. Step 4: Simplify right side
    1,124.47x = 664,598.09
  5. Step 5: Solve for x
    x = 664,598.09/1,124.47
  6. Step 6: Final answer
    x = 591.03

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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.