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Finding the Fourth Proportional to 1,075.07, 1,612.26 and 344.47

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Solution

The fourth proportional to 1,075.07, 1,612.26 and 344.47 is: 516.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.07 : 1,612.26 = 344.47 : x
  2. Step 2: Convert to fraction form
    1,075.07/1,612.26 = 344.47/x
  3. Step 3: Cross multiply
    1,075.07x = 1,612.26 × 344.47
  4. Step 4: Simplify right side
    1,075.07x = 555,373.48
  5. Step 5: Solve for x
    x = 555,373.48/1,075.07
  6. Step 6: Final answer
    x = 516.59

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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.