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Finding the Fourth Proportional to 1,021.10, 1,533.34 and 689.68

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Solution

The fourth proportional to 1,021.10, 1,533.34 and 689.68 is: 1,035.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.10 : 1,533.34 = 689.68 : x
  2. Step 2: Convert to fraction form
    1,021.10/1,533.34 = 689.68/x
  3. Step 3: Cross multiply
    1,021.10x = 1,533.34 × 689.68
  4. Step 4: Simplify right side
    1,021.10x = 1,057,506.26
  5. Step 5: Solve for x
    x = 1,057,506.26/1,021.10
  6. Step 6: Final answer
    x = 1,035.66

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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.