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Finding the Fourth Proportional to 1,287.37, 1,930.54 and 465.20

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Solution

The fourth proportional to 1,287.37, 1,930.54 and 465.20 is: 697.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.37 : 1,930.54 = 465.20 : x
  2. Step 2: Convert to fraction form
    1,287.37/1,930.54 = 465.20/x
  3. Step 3: Cross multiply
    1,287.37x = 1,930.54 × 465.20
  4. Step 4: Simplify right side
    1,287.37x = 898,075.23
  5. Step 5: Solve for x
    x = 898,075.23/1,287.37
  6. Step 6: Final answer
    x = 697.61

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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.