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Finding the Fourth Proportional to 1,355.86, 2,033.75 and 431.47

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Solution

The fourth proportional to 1,355.86, 2,033.75 and 431.47 is: 647.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.86 : 2,033.75 = 431.47 : x
  2. Step 2: Convert to fraction form
    1,355.86/2,033.75 = 431.47/x
  3. Step 3: Cross multiply
    1,355.86x = 2,033.75 × 431.47
  4. Step 4: Simplify right side
    1,355.86x = 877,504.12
  5. Step 5: Solve for x
    x = 877,504.12/1,355.86
  6. Step 6: Final answer
    x = 647.19

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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.