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Finding the Fourth Proportional to 779.50, 1,075.71 and 430.21

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Solution

The fourth proportional to 779.50, 1,075.71 and 430.21 is: 593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.50 : 1,075.71 = 430.21 : x
  2. Step 2: Convert to fraction form
    779.50/1,075.71 = 430.21/x
  3. Step 3: Cross multiply
    779.50x = 1,075.71 × 430.21
  4. Step 4: Simplify right side
    779.50x = 462,781.20
  5. Step 5: Solve for x
    x = 462,781.20/779.50
  6. Step 6: Final answer
    x = 593.69

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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.