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Finding the Fourth Proportional to 841.23, 1,262.49 and 451.55

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Solution

The fourth proportional to 841.23, 1,262.49 and 451.55 is: 677.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.23 : 1,262.49 = 451.55 : x
  2. Step 2: Convert to fraction form
    841.23/1,262.49 = 451.55/x
  3. Step 3: Cross multiply
    841.23x = 1,262.49 × 451.55
  4. Step 4: Simplify right side
    841.23x = 570,075.10
  5. Step 5: Solve for x
    x = 570,075.10/841.23
  6. Step 6: Final answer
    x = 677.67

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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.