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Finding the Fourth Proportional to 779.10, 1,075.16 and 429.79

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Solution

The fourth proportional to 779.10, 1,075.16 and 429.79 is: 593.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.10 : 1,075.16 = 429.79 : x
  2. Step 2: Convert to fraction form
    779.10/1,075.16 = 429.79/x
  3. Step 3: Cross multiply
    779.10x = 1,075.16 × 429.79
  4. Step 4: Simplify right side
    779.10x = 462,087.64
  5. Step 5: Solve for x
    x = 462,087.64/779.10
  6. Step 6: Final answer
    x = 593.10

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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.