Home / 1,038.20-1,556.82-307.52

Finding the Fourth Proportional to 1,038.20, 1,556.82 and 307.52

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Solution

The fourth proportional to 1,038.20, 1,556.82 and 307.52 is: 461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.20 : 1,556.82 = 307.52 : x
  2. Step 2: Convert to fraction form
    1,038.20/1,556.82 = 307.52/x
  3. Step 3: Cross multiply
    1,038.20x = 1,556.82 × 307.52
  4. Step 4: Simplify right side
    1,038.20x = 478,753.29
  5. Step 5: Solve for x
    x = 478,753.29/1,038.20
  6. Step 6: Final answer
    x = 461.14

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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.