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Finding the Fourth Proportional to 1,076.07, 1,484.87 and 603.99

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Solution

The fourth proportional to 1,076.07, 1,484.87 and 603.99 is: 833.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.07 : 1,484.87 = 603.99 : x
  2. Step 2: Convert to fraction form
    1,076.07/1,484.87 = 603.99/x
  3. Step 3: Cross multiply
    1,076.07x = 1,484.87 × 603.99
  4. Step 4: Simplify right side
    1,076.07x = 896,843.61
  5. Step 5: Solve for x
    x = 896,843.61/1,076.07
  6. Step 6: Final answer
    x = 833.44

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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.