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Finding the Fourth Proportional to 1,383.31, 2,075.03 and 458.95

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Solution

The fourth proportional to 1,383.31, 2,075.03 and 458.95 is: 688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.31 : 2,075.03 = 458.95 : x
  2. Step 2: Convert to fraction form
    1,383.31/2,075.03 = 458.95/x
  3. Step 3: Cross multiply
    1,383.31x = 2,075.03 × 458.95
  4. Step 4: Simplify right side
    1,383.31x = 952,332.72
  5. Step 5: Solve for x
    x = 952,332.72/1,383.31
  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.