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Finding the Fourth Proportional to 1,536.42, 2,303.14 and 659.15

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Solution

The fourth proportional to 1,536.42, 2,303.14 and 659.15 is: 988.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.42 : 2,303.14 = 659.15 : x
  2. Step 2: Convert to fraction form
    1,536.42/2,303.14 = 659.15/x
  3. Step 3: Cross multiply
    1,536.42x = 2,303.14 × 659.15
  4. Step 4: Simplify right side
    1,536.42x = 1,518,114.73
  5. Step 5: Solve for x
    x = 1,518,114.73/1,536.42
  6. Step 6: Final answer
    x = 988.09

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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.