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Finding the Fourth Proportional to 780.69, 1,075.64 and 518.25

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Solution

The fourth proportional to 780.69, 1,075.64 and 518.25 is: 714.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.69 : 1,075.64 = 518.25 : x
  2. Step 2: Convert to fraction form
    780.69/1,075.64 = 518.25/x
  3. Step 3: Cross multiply
    780.69x = 1,075.64 × 518.25
  4. Step 4: Simplify right side
    780.69x = 557,450.43
  5. Step 5: Solve for x
    x = 557,450.43/780.69
  6. Step 6: Final answer
    x = 714.05

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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.