Home / 1,356.29-2,034.60-431.53

Finding the Fourth Proportional to 1,356.29, 2,034.60 and 431.53

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Solution

The fourth proportional to 1,356.29, 2,034.60 and 431.53 is: 647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.29 : 2,034.60 = 431.53 : x
  2. Step 2: Convert to fraction form
    1,356.29/2,034.60 = 431.53/x
  3. Step 3: Cross multiply
    1,356.29x = 2,034.60 × 431.53
  4. Step 4: Simplify right side
    1,356.29x = 877,986.66
  5. Step 5: Solve for x
    x = 877,986.66/1,356.29
  6. Step 6: Final answer
    x = 647.34

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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.