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Finding the Fourth Proportional to 1,013.33, 1,518.84 and 458.51

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Solution

The fourth proportional to 1,013.33, 1,518.84 and 458.51 is: 687.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.33 : 1,518.84 = 458.51 : x
  2. Step 2: Convert to fraction form
    1,013.33/1,518.84 = 458.51/x
  3. Step 3: Cross multiply
    1,013.33x = 1,518.84 × 458.51
  4. Step 4: Simplify right side
    1,013.33x = 696,395.73
  5. Step 5: Solve for x
    x = 696,395.73/1,013.33
  6. Step 6: Final answer
    x = 687.24

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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.