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Finding the Fourth Proportional to 779.63, 1,075.49 and 544.07

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Solution

The fourth proportional to 779.63, 1,075.49 and 544.07 is: 750.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.63 : 1,075.49 = 544.07 : x
  2. Step 2: Convert to fraction form
    779.63/1,075.49 = 544.07/x
  3. Step 3: Cross multiply
    779.63x = 1,075.49 × 544.07
  4. Step 4: Simplify right side
    779.63x = 585,140.86
  5. Step 5: Solve for x
    x = 585,140.86/779.63
  6. Step 6: Final answer
    x = 750.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.