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Finding the Fourth Proportional to 779.49, 1,075.73 and 430.16

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Solution

The fourth proportional to 779.49, 1,075.73 and 430.16 is: 593.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.49 : 1,075.73 = 430.16 : x
  2. Step 2: Convert to fraction form
    779.49/1,075.73 = 430.16/x
  3. Step 3: Cross multiply
    779.49x = 1,075.73 × 430.16
  4. Step 4: Simplify right side
    779.49x = 462,728.49
  5. Step 5: Solve for x
    x = 462,728.49/779.49
  6. Step 6: Final answer
    x = 593.63

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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.