Home / 1,030.24-1,546.02-413.84

Finding the Fourth Proportional to 1,030.24, 1,546.02 and 413.84

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Solution

The fourth proportional to 1,030.24, 1,546.02 and 413.84 is: 621.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.24 : 1,546.02 = 413.84 : x
  2. Step 2: Convert to fraction form
    1,030.24/1,546.02 = 413.84/x
  3. Step 3: Cross multiply
    1,030.24x = 1,546.02 × 413.84
  4. Step 4: Simplify right side
    1,030.24x = 639,804.92
  5. Step 5: Solve for x
    x = 639,804.92/1,030.24
  6. Step 6: Final answer
    x = 621.03

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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.