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Finding the Fourth Proportional to 1,203.10, 1,660.18 and 705.67

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Solution

The fourth proportional to 1,203.10, 1,660.18 and 705.67 is: 973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.10 : 1,660.18 = 705.67 : x
  2. Step 2: Convert to fraction form
    1,203.10/1,660.18 = 705.67/x
  3. Step 3: Cross multiply
    1,203.10x = 1,660.18 × 705.67
  4. Step 4: Simplify right side
    1,203.10x = 1,171,539.22
  5. Step 5: Solve for x
    x = 1,171,539.22/1,203.10
  6. Step 6: Final answer
    x = 973.77

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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.