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Finding the Fourth Proportional to 1,075.09, 1,612.77 and 425.68

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Solution

The fourth proportional to 1,075.09, 1,612.77 and 425.68 is: 638.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.09 : 1,612.77 = 425.68 : x
  2. Step 2: Convert to fraction form
    1,075.09/1,612.77 = 425.68/x
  3. Step 3: Cross multiply
    1,075.09x = 1,612.77 × 425.68
  4. Step 4: Simplify right side
    1,075.09x = 686,523.93
  5. Step 5: Solve for x
    x = 686,523.93/1,075.09
  6. Step 6: Final answer
    x = 638.57

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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.