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Finding the Fourth Proportional to 1,536.15, 2,303.73 and 658.63

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Solution

The fourth proportional to 1,536.15, 2,303.73 and 658.63 is: 987.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.15 : 2,303.73 = 658.63 : x
  2. Step 2: Convert to fraction form
    1,536.15/2,303.73 = 658.63/x
  3. Step 3: Cross multiply
    1,536.15x = 2,303.73 × 658.63
  4. Step 4: Simplify right side
    1,536.15x = 1,517,305.69
  5. Step 5: Solve for x
    x = 1,517,305.69/1,536.15
  6. Step 6: Final answer
    x = 987.73

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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.