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Finding the Fourth Proportional to 675.14, 931.69 and 413.14

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Solution

The fourth proportional to 675.14, 931.69 and 413.14 is: 570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.14 : 931.69 = 413.14 : x
  2. Step 2: Convert to fraction form
    675.14/931.69 = 413.14/x
  3. Step 3: Cross multiply
    675.14x = 931.69 × 413.14
  4. Step 4: Simplify right side
    675.14x = 384,918.41
  5. Step 5: Solve for x
    x = 384,918.41/675.14
  6. Step 6: Final answer
    x = 570.13

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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.