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Finding the Fourth Proportional to 912.49, 1,368.77 and 450.65

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Solution

The fourth proportional to 912.49, 1,368.77 and 450.65 is: 675.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.49 : 1,368.77 = 450.65 : x
  2. Step 2: Convert to fraction form
    912.49/1,368.77 = 450.65/x
  3. Step 3: Cross multiply
    912.49x = 1,368.77 × 450.65
  4. Step 4: Simplify right side
    912.49x = 616,836.20
  5. Step 5: Solve for x
    x = 616,836.20/912.49
  6. Step 6: Final answer
    x = 675.99

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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.