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Finding the Fourth Proportional to 982.13, 1,355.12 and 583.77

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Solution

The fourth proportional to 982.13, 1,355.12 and 583.77 is: 805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.13 : 1,355.12 = 583.77 : x
  2. Step 2: Convert to fraction form
    982.13/1,355.12 = 583.77/x
  3. Step 3: Cross multiply
    982.13x = 1,355.12 × 583.77
  4. Step 4: Simplify right side
    982.13x = 791,075.48
  5. Step 5: Solve for x
    x = 791,075.48/982.13
  6. Step 6: Final answer
    x = 805.47

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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.