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Finding the Fourth Proportional to 914.85, 1,370.16 and 589.23

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Solution

The fourth proportional to 914.85, 1,370.16 and 589.23 is: 882.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.85 : 1,370.16 = 589.23 : x
  2. Step 2: Convert to fraction form
    914.85/1,370.16 = 589.23/x
  3. Step 3: Cross multiply
    914.85x = 1,370.16 × 589.23
  4. Step 4: Simplify right side
    914.85x = 807,339.38
  5. Step 5: Solve for x
    x = 807,339.38/914.85
  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.