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Finding the Fourth Proportional to 780.24, 1,075.86 and 518.16

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Solution

The fourth proportional to 780.24, 1,075.86 and 518.16 is: 714.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.24 : 1,075.86 = 518.16 : x
  2. Step 2: Convert to fraction form
    780.24/1,075.86 = 518.16/x
  3. Step 3: Cross multiply
    780.24x = 1,075.86 × 518.16
  4. Step 4: Simplify right side
    780.24x = 557,467.62
  5. Step 5: Solve for x
    x = 557,467.62/780.24
  6. Step 6: Final answer
    x = 714.48

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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.