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Finding the Fourth Proportional to 779.23, 1,075.47 and 464.51

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Solution

The fourth proportional to 779.23, 1,075.47 and 464.51 is: 641.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.23 : 1,075.47 = 464.51 : x
  2. Step 2: Convert to fraction form
    779.23/1,075.47 = 464.51/x
  3. Step 3: Cross multiply
    779.23x = 1,075.47 × 464.51
  4. Step 4: Simplify right side
    779.23x = 499,571.08
  5. Step 5: Solve for x
    x = 499,571.08/779.23
  6. Step 6: Final answer
    x = 641.11

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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.