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Finding the Fourth Proportional to 1,015.68, 1,522.60 and 357.19

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Solution

The fourth proportional to 1,015.68, 1,522.60 and 357.19 is: 535.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.68 : 1,522.60 = 357.19 : x
  2. Step 2: Convert to fraction form
    1,015.68/1,522.60 = 357.19/x
  3. Step 3: Cross multiply
    1,015.68x = 1,522.60 × 357.19
  4. Step 4: Simplify right side
    1,015.68x = 543,852.79
  5. Step 5: Solve for x
    x = 543,852.79/1,015.68
  6. Step 6: Final answer
    x = 535.45

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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.