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Finding the Fourth Proportional to 617.84, 841.73 and 605.19

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Solution

The fourth proportional to 617.84, 841.73 and 605.19 is: 824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.84 : 841.73 = 605.19 : x
  2. Step 2: Convert to fraction form
    617.84/841.73 = 605.19/x
  3. Step 3: Cross multiply
    617.84x = 841.73 × 605.19
  4. Step 4: Simplify right side
    617.84x = 509,406.58
  5. Step 5: Solve for x
    x = 509,406.58/617.84
  6. Step 6: Final answer
    x = 824.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.