Home / 1,038.40-1,557.24-307.78

Finding the Fourth Proportional to 1,038.40, 1,557.24 and 307.78

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Solution

The fourth proportional to 1,038.40, 1,557.24 and 307.78 is: 461.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.40 : 1,557.24 = 307.78 : x
  2. Step 2: Convert to fraction form
    1,038.40/1,557.24 = 307.78/x
  3. Step 3: Cross multiply
    1,038.40x = 1,557.24 × 307.78
  4. Step 4: Simplify right side
    1,038.40x = 479,287.33
  5. Step 5: Solve for x
    x = 479,287.33/1,038.40
  6. Step 6: Final answer
    x = 461.56

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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.