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Finding the Fourth Proportional to 1,771.79, 2,657 and 601.59

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Solution

The fourth proportional to 1,771.79, 2,657 and 601.59 is: 902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.79 : 2,657 = 601.59 : x
  2. Step 2: Convert to fraction form
    1,771.79/2,657 = 601.59/x
  3. Step 3: Cross multiply
    1,771.79x = 2,657 × 601.59
  4. Step 4: Simplify right side
    1,771.79x = 1,598,424.63
  5. Step 5: Solve for x
    x = 1,598,424.63/1,771.79
  6. Step 6: Final answer
    x = 902.15

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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.