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Finding the Fourth Proportional to 544.03, 815.43 and 313.03

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Solution

The fourth proportional to 544.03, 815.43 and 313.03 is: 469.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.03 : 815.43 = 313.03 : x
  2. Step 2: Convert to fraction form
    544.03/815.43 = 313.03/x
  3. Step 3: Cross multiply
    544.03x = 815.43 × 313.03
  4. Step 4: Simplify right side
    544.03x = 255,254.05
  5. Step 5: Solve for x
    x = 255,254.05/544.03
  6. Step 6: Final answer
    x = 469.19

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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.