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Finding the Fourth Proportional to 991.56, 1,485.54 and 413.40

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Solution

The fourth proportional to 991.56, 1,485.54 and 413.40 is: 619.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.56 : 1,485.54 = 413.40 : x
  2. Step 2: Convert to fraction form
    991.56/1,485.54 = 413.40/x
  3. Step 3: Cross multiply
    991.56x = 1,485.54 × 413.40
  4. Step 4: Simplify right side
    991.56x = 614,122.24
  5. Step 5: Solve for x
    x = 614,122.24/991.56
  6. Step 6: Final answer
    x = 619.35

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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.