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Finding the Fourth Proportional to 1,235.21, 1,704.51 and 711.23

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Solution

The fourth proportional to 1,235.21, 1,704.51 and 711.23 is: 981.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.21 : 1,704.51 = 711.23 : x
  2. Step 2: Convert to fraction form
    1,235.21/1,704.51 = 711.23/x
  3. Step 3: Cross multiply
    1,235.21x = 1,704.51 × 711.23
  4. Step 4: Simplify right side
    1,235.21x = 1,212,298.65
  5. Step 5: Solve for x
    x = 1,212,298.65/1,235.21
  6. Step 6: Final answer
    x = 981.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.