Home / 1,029.39-1,535.16-974.72

Finding the Fourth Proportional to 1,029.39, 1,535.16 and 974.72

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Solution

The fourth proportional to 1,029.39, 1,535.16 and 974.72 is: 1,453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.39 : 1,535.16 = 974.72 : x
  2. Step 2: Convert to fraction form
    1,029.39/1,535.16 = 974.72/x
  3. Step 3: Cross multiply
    1,029.39x = 1,535.16 × 974.72
  4. Step 4: Simplify right side
    1,029.39x = 1,496,343.48
  5. Step 5: Solve for x
    x = 1,496,343.48/1,029.39
  6. Step 6: Final answer
    x = 1,453.62

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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.