Home / 1,319.77-1,980.34-589.18

Finding the Fourth Proportional to 1,319.77, 1,980.34 and 589.18

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Solution

The fourth proportional to 1,319.77, 1,980.34 and 589.18 is: 884.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.77 : 1,980.34 = 589.18 : x
  2. Step 2: Convert to fraction form
    1,319.77/1,980.34 = 589.18/x
  3. Step 3: Cross multiply
    1,319.77x = 1,980.34 × 589.18
  4. Step 4: Simplify right side
    1,319.77x = 1,166,776.72
  5. Step 5: Solve for x
    x = 1,166,776.72/1,319.77
  6. Step 6: Final answer
    x = 884.08

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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.