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Finding the Fourth Proportional to 1,015.48, 1,523.07 and 285.01

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Solution

The fourth proportional to 1,015.48, 1,523.07 and 285.01 is: 427.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.48 : 1,523.07 = 285.01 : x
  2. Step 2: Convert to fraction form
    1,015.48/1,523.07 = 285.01/x
  3. Step 3: Cross multiply
    1,015.48x = 1,523.07 × 285.01
  4. Step 4: Simplify right side
    1,015.48x = 434,090.18
  5. Step 5: Solve for x
    x = 434,090.18/1,015.48
  6. Step 6: Final answer
    x = 427.47

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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.