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Finding the Fourth Proportional to 841.82, 1,261.54 and 717.77

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Solution

The fourth proportional to 841.82, 1,261.54 and 717.77 is: 1,075.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.82 : 1,261.54 = 717.77 : x
  2. Step 2: Convert to fraction form
    841.82/1,261.54 = 717.77/x
  3. Step 3: Cross multiply
    841.82x = 1,261.54 × 717.77
  4. Step 4: Simplify right side
    841.82x = 905,495.57
  5. Step 5: Solve for x
    x = 905,495.57/841.82
  6. Step 6: Final answer
    x = 1,075.64

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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.