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Finding the Fourth Proportional to 1,281.91, 1,920.16 and 589.15

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Solution

The fourth proportional to 1,281.91, 1,920.16 and 589.15 is: 882.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.91 : 1,920.16 = 589.15 : x
  2. Step 2: Convert to fraction form
    1,281.91/1,920.16 = 589.15/x
  3. Step 3: Cross multiply
    1,281.91x = 1,920.16 × 589.15
  4. Step 4: Simplify right side
    1,281.91x = 1,131,262.26
  5. Step 5: Solve for x
    x = 1,131,262.26/1,281.91
  6. Step 6: Final answer
    x = 882.48

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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.