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Finding the Fourth Proportional to 1,287.42, 1,931.31 and 465.54

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Solution

The fourth proportional to 1,287.42, 1,931.31 and 465.54 is: 698.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.42 : 1,931.31 = 465.54 : x
  2. Step 2: Convert to fraction form
    1,287.42/1,931.31 = 465.54/x
  3. Step 3: Cross multiply
    1,287.42x = 1,931.31 × 465.54
  4. Step 4: Simplify right side
    1,287.42x = 899,102.06
  5. Step 5: Solve for x
    x = 899,102.06/1,287.42
  6. Step 6: Final answer
    x = 698.38

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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.