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Finding the Fourth Proportional to 689.11, 1,028.62 and 607.10

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Solution

The fourth proportional to 689.11, 1,028.62 and 607.10 is: 906.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.11 : 1,028.62 = 607.10 : x
  2. Step 2: Convert to fraction form
    689.11/1,028.62 = 607.10/x
  3. Step 3: Cross multiply
    689.11x = 1,028.62 × 607.10
  4. Step 4: Simplify right side
    689.11x = 624,467.40
  5. Step 5: Solve for x
    x = 624,467.40/689.11
  6. Step 6: Final answer
    x = 906.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.