Home / 1,051.26-1,577.24-436.16

Finding the Fourth Proportional to 1,051.26, 1,577.24 and 436.16

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Solution

The fourth proportional to 1,051.26, 1,577.24 and 436.16 is: 654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.26 : 1,577.24 = 436.16 : x
  2. Step 2: Convert to fraction form
    1,051.26/1,577.24 = 436.16/x
  3. Step 3: Cross multiply
    1,051.26x = 1,577.24 × 436.16
  4. Step 4: Simplify right side
    1,051.26x = 687,918.93
  5. Step 5: Solve for x
    x = 687,918.93/1,051.26
  6. Step 6: Final answer
    x = 654.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.