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Finding the Fourth Proportional to 1,075.38, 1,612.43 and 458.77

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Solution

The fourth proportional to 1,075.38, 1,612.43 and 458.77 is: 687.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.38 : 1,612.43 = 458.77 : x
  2. Step 2: Convert to fraction form
    1,075.38/1,612.43 = 458.77/x
  3. Step 3: Cross multiply
    1,075.38x = 1,612.43 × 458.77
  4. Step 4: Simplify right side
    1,075.38x = 739,724.16
  5. Step 5: Solve for x
    x = 739,724.16/1,075.38
  6. Step 6: Final answer
    x = 687.88

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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.