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Finding the Fourth Proportional to 1,235.17, 1,704.72 and 711.10

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Solution

The fourth proportional to 1,235.17, 1,704.72 and 711.10 is: 981.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.17 : 1,704.72 = 711.10 : x
  2. Step 2: Convert to fraction form
    1,235.17/1,704.72 = 711.10/x
  3. Step 3: Cross multiply
    1,235.17x = 1,704.72 × 711.10
  4. Step 4: Simplify right side
    1,235.17x = 1,212,226.39
  5. Step 5: Solve for x
    x = 1,212,226.39/1,235.17
  6. Step 6: Final answer
    x = 981.42

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1.5x scale

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.