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Finding the Fourth Proportional to 779.41, 1,075.51 and 430.05

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Solution

The fourth proportional to 779.41, 1,075.51 and 430.05 is: 593.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.41 : 1,075.51 = 430.05 : x
  2. Step 2: Convert to fraction form
    779.41/1,075.51 = 430.05/x
  3. Step 3: Cross multiply
    779.41x = 1,075.51 × 430.05
  4. Step 4: Simplify right side
    779.41x = 462,520.93
  5. Step 5: Solve for x
    x = 462,520.93/779.41
  6. Step 6: Final answer
    x = 593.42

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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.