Home / 1,029.36-1,537.24-973.20

Finding the Fourth Proportional to 1,029.36, 1,537.24 and 973.20

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Solution

The fourth proportional to 1,029.36, 1,537.24 and 973.20 is: 1,453.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.36 : 1,537.24 = 973.20 : x
  2. Step 2: Convert to fraction form
    1,029.36/1,537.24 = 973.20/x
  3. Step 3: Cross multiply
    1,029.36x = 1,537.24 × 973.20
  4. Step 4: Simplify right side
    1,029.36x = 1,496,041.97
  5. Step 5: Solve for x
    x = 1,496,041.97/1,029.36
  6. Step 6: Final answer
    x = 1,453.37

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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.