Home / 1,038.53-1,553.20-923.78

Finding the Fourth Proportional to 1,038.53, 1,553.20 and 923.78

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Solution

The fourth proportional to 1,038.53, 1,553.20 and 923.78 is: 1,381.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.53 : 1,553.20 = 923.78 : x
  2. Step 2: Convert to fraction form
    1,038.53/1,553.20 = 923.78/x
  3. Step 3: Cross multiply
    1,038.53x = 1,553.20 × 923.78
  4. Step 4: Simplify right side
    1,038.53x = 1,434,805.02
  5. Step 5: Solve for x
    x = 1,434,805.02/1,038.53
  6. Step 6: Final answer
    x = 1,381.58

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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.