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Finding the Fourth Proportional to 918.77, 1,378.30 and 456.56

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Solution

The fourth proportional to 918.77, 1,378.30 and 456.56 is: 684.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.77 : 1,378.30 = 456.56 : x
  2. Step 2: Convert to fraction form
    918.77/1,378.30 = 456.56/x
  3. Step 3: Cross multiply
    918.77x = 1,378.30 × 456.56
  4. Step 4: Simplify right side
    918.77x = 629,276.65
  5. Step 5: Solve for x
    x = 629,276.65/918.77
  6. Step 6: Final answer
    x = 684.92

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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.