Home / 1,003.26-1,497.30-977.34

Finding the Fourth Proportional to 1,003.26, 1,497.30 and 977.34

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Solution

The fourth proportional to 1,003.26, 1,497.30 and 977.34 is: 1,458.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.26 : 1,497.30 = 977.34 : x
  2. Step 2: Convert to fraction form
    1,003.26/1,497.30 = 977.34/x
  3. Step 3: Cross multiply
    1,003.26x = 1,497.30 × 977.34
  4. Step 4: Simplify right side
    1,003.26x = 1,463,371.18
  5. Step 5: Solve for x
    x = 1,463,371.18/1,003.26
  6. Step 6: Final answer
    x = 1,458.62

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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.