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Finding the Fourth Proportional to 1,383.51, 2,075.49 and 458.91

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Solution

The fourth proportional to 1,383.51, 2,075.49 and 458.91 is: 688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.51 : 2,075.49 = 458.91 : x
  2. Step 2: Convert to fraction form
    1,383.51/2,075.49 = 458.91/x
  3. Step 3: Cross multiply
    1,383.51x = 2,075.49 × 458.91
  4. Step 4: Simplify right side
    1,383.51x = 952,463.12
  5. Step 5: Solve for x
    x = 952,463.12/1,383.51
  6. Step 6: Final answer
    x = 688.44

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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.