Home / 1,038.41-1,557.23-380.07

Finding the Fourth Proportional to 1,038.41, 1,557.23 and 380.07

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Solution

The fourth proportional to 1,038.41, 1,557.23 and 380.07 is: 569.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.41 : 1,557.23 = 380.07 : x
  2. Step 2: Convert to fraction form
    1,038.41/1,557.23 = 380.07/x
  3. Step 3: Cross multiply
    1,038.41x = 1,557.23 × 380.07
  4. Step 4: Simplify right side
    1,038.41x = 591,852.53
  5. Step 5: Solve for x
    x = 591,852.53/1,038.41
  6. Step 6: Final answer
    x = 569.96

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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.