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Finding the Fourth Proportional to 918.68, 1,378.25 and 456.68

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Solution

The fourth proportional to 918.68, 1,378.25 and 456.68 is: 685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.68 : 1,378.25 = 456.68 : x
  2. Step 2: Convert to fraction form
    918.68/1,378.25 = 456.68/x
  3. Step 3: Cross multiply
    918.68x = 1,378.25 × 456.68
  4. Step 4: Simplify right side
    918.68x = 629,423.80
  5. Step 5: Solve for x
    x = 629,423.80/918.68
  6. Step 6: Final answer
    x = 685.14

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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.