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Finding the Fourth Proportional to 1,015.86, 1,523.86 and 357.66

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Solution

The fourth proportional to 1,015.86, 1,523.86 and 357.66 is: 536.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.86 : 1,523.86 = 357.66 : x
  2. Step 2: Convert to fraction form
    1,015.86/1,523.86 = 357.66/x
  3. Step 3: Cross multiply
    1,015.86x = 1,523.86 × 357.66
  4. Step 4: Simplify right side
    1,015.86x = 545,023.77
  5. Step 5: Solve for x
    x = 545,023.77/1,015.86
  6. Step 6: Final answer
    x = 536.51

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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.