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Finding the Fourth Proportional to 675.15, 1,012.90 and 366.93

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Solution

The fourth proportional to 675.15, 1,012.90 and 366.93 is: 550.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.15 : 1,012.90 = 366.93 : x
  2. Step 2: Convert to fraction form
    675.15/1,012.90 = 366.93/x
  3. Step 3: Cross multiply
    675.15x = 1,012.90 × 366.93
  4. Step 4: Simplify right side
    675.15x = 371,663.40
  5. Step 5: Solve for x
    x = 371,663.40/675.15
  6. Step 6: Final answer
    x = 550.49

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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.