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Finding the Fourth Proportional to 779.50, 1,075.80 and 469

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Solution

The fourth proportional to 779.50, 1,075.80 and 469 is: 647.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.50 : 1,075.80 = 469 : x
  2. Step 2: Convert to fraction form
    779.50/1,075.80 = 469/x
  3. Step 3: Cross multiply
    779.50x = 1,075.80 × 469
  4. Step 4: Simplify right side
    779.50x = 504,550.20
  5. Step 5: Solve for x
    x = 504,550.20/779.50
  6. Step 6: Final answer
    x = 647.27

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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.