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Finding the Fourth Proportional to 1,319.68, 1,978.91 and 589.26

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Solution

The fourth proportional to 1,319.68, 1,978.91 and 589.26 is: 883.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.68 : 1,978.91 = 589.26 : x
  2. Step 2: Convert to fraction form
    1,319.68/1,978.91 = 589.26/x
  3. Step 3: Cross multiply
    1,319.68x = 1,978.91 × 589.26
  4. Step 4: Simplify right side
    1,319.68x = 1,166,092.51
  5. Step 5: Solve for x
    x = 1,166,092.51/1,319.68
  6. Step 6: Final answer
    x = 883.62

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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.