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Finding the Fourth Proportional to 2,050.58, 3,075.85 and 511.58

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Solution

The fourth proportional to 2,050.58, 3,075.85 and 511.58 is: 767.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.58 : 3,075.85 = 511.58 : x
  2. Step 2: Convert to fraction form
    2,050.58/3,075.85 = 511.58/x
  3. Step 3: Cross multiply
    2,050.58x = 3,075.85 × 511.58
  4. Step 4: Simplify right side
    2,050.58x = 1,573,543.34
  5. Step 5: Solve for x
    x = 1,573,543.34/2,050.58
  6. Step 6: Final answer
    x = 767.37

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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.