Home / 1,022.98-1,534.67-437.97

Finding the Fourth Proportional to 1,022.98, 1,534.67 and 437.97

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Solution

The fourth proportional to 1,022.98, 1,534.67 and 437.97 is: 657.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.98 : 1,534.67 = 437.97 : x
  2. Step 2: Convert to fraction form
    1,022.98/1,534.67 = 437.97/x
  3. Step 3: Cross multiply
    1,022.98x = 1,534.67 × 437.97
  4. Step 4: Simplify right side
    1,022.98x = 672,137.23
  5. Step 5: Solve for x
    x = 672,137.23/1,022.98
  6. Step 6: Final answer
    x = 657.04

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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.