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Finding the Fourth Proportional to 1,077.99, 1,616.82 and 347.49

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Solution

The fourth proportional to 1,077.99, 1,616.82 and 347.49 is: 521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.99 : 1,616.82 = 347.49 : x
  2. Step 2: Convert to fraction form
    1,077.99/1,616.82 = 347.49/x
  3. Step 3: Cross multiply
    1,077.99x = 1,616.82 × 347.49
  4. Step 4: Simplify right side
    1,077.99x = 561,828.78
  5. Step 5: Solve for x
    x = 561,828.78/1,077.99
  6. Step 6: Final answer
    x = 521.18

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1.5x scale

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.