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Finding the Fourth Proportional to 1,015.51, 1,522.93 and 399.29

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Solution

The fourth proportional to 1,015.51, 1,522.93 and 399.29 is: 598.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.51 : 1,522.93 = 399.29 : x
  2. Step 2: Convert to fraction form
    1,015.51/1,522.93 = 399.29/x
  3. Step 3: Cross multiply
    1,015.51x = 1,522.93 × 399.29
  4. Step 4: Simplify right side
    1,015.51x = 608,090.72
  5. Step 5: Solve for x
    x = 608,090.72/1,015.51
  6. Step 6: Final answer
    x = 598.80

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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.