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Finding the Fourth Proportional to 780.10, 1,075.89 and 584.08

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Solution

The fourth proportional to 780.10, 1,075.89 and 584.08 is: 805.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.10 : 1,075.89 = 584.08 : x
  2. Step 2: Convert to fraction form
    780.10/1,075.89 = 584.08/x
  3. Step 3: Cross multiply
    780.10x = 1,075.89 × 584.08
  4. Step 4: Simplify right side
    780.10x = 628,405.83
  5. Step 5: Solve for x
    x = 628,405.83/780.10
  6. Step 6: Final answer
    x = 805.55

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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.