Home / 1,077.07-1,615.89-307.57

Finding the Fourth Proportional to 1,077.07, 1,615.89 and 307.57

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Solution

The fourth proportional to 1,077.07, 1,615.89 and 307.57 is: 461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.07 : 1,615.89 = 307.57 : x
  2. Step 2: Convert to fraction form
    1,077.07/1,615.89 = 307.57/x
  3. Step 3: Cross multiply
    1,077.07x = 1,615.89 × 307.57
  4. Step 4: Simplify right side
    1,077.07x = 496,999.29
  5. Step 5: Solve for x
    x = 496,999.29/1,077.07
  6. Step 6: Final answer
    x = 461.44

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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.