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Finding the Fourth Proportional to 675.80, 899.41 and 675.80

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Solution

The fourth proportional to 675.80, 899.41 and 675.80 is: 899.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.80 : 899.41 = 675.80 : x
  2. Step 2: Convert to fraction form
    675.80/899.41 = 675.80/x
  3. Step 3: Cross multiply
    675.80x = 899.41 × 675.80
  4. Step 4: Simplify right side
    675.80x = 607,821.28
  5. Step 5: Solve for x
    x = 607,821.28/675.80
  6. Step 6: Final answer
    x = 899.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.