Home / 1,038.25-1,557.38-307.81

Finding the Fourth Proportional to 1,038.25, 1,557.38 and 307.81

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Solution

The fourth proportional to 1,038.25, 1,557.38 and 307.81 is: 461.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.25 : 1,557.38 = 307.81 : x
  2. Step 2: Convert to fraction form
    1,038.25/1,557.38 = 307.81/x
  3. Step 3: Cross multiply
    1,038.25x = 1,557.38 × 307.81
  4. Step 4: Simplify right side
    1,038.25x = 479,377.14
  5. Step 5: Solve for x
    x = 479,377.14/1,038.25
  6. Step 6: Final answer
    x = 461.72

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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.