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Finding the Fourth Proportional to 779.21, 1,075.29 and 429.89

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Solution

The fourth proportional to 779.21, 1,075.29 and 429.89 is: 593.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.21 : 1,075.29 = 429.89 : x
  2. Step 2: Convert to fraction form
    779.21/1,075.29 = 429.89/x
  3. Step 3: Cross multiply
    779.21x = 1,075.29 × 429.89
  4. Step 4: Simplify right side
    779.21x = 462,256.42
  5. Step 5: Solve for x
    x = 462,256.42/779.21
  6. Step 6: Final answer
    x = 593.24

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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.