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Finding the Fourth Proportional to 779.02, 1,075.05 and 429.71

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Solution

The fourth proportional to 779.02, 1,075.05 and 429.71 is: 593.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.02 : 1,075.05 = 429.71 : x
  2. Step 2: Convert to fraction form
    779.02/1,075.05 = 429.71/x
  3. Step 3: Cross multiply
    779.02x = 1,075.05 × 429.71
  4. Step 4: Simplify right side
    779.02x = 461,958.39
  5. Step 5: Solve for x
    x = 461,958.39/779.02
  6. Step 6: Final answer
    x = 593.00

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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.