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Finding the Fourth Proportional to 837.46, 1,155.09 and 589.06

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Solution

The fourth proportional to 837.46, 1,155.09 and 589.06 is: 812.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.46 : 1,155.09 = 589.06 : x
  2. Step 2: Convert to fraction form
    837.46/1,155.09 = 589.06/x
  3. Step 3: Cross multiply
    837.46x = 1,155.09 × 589.06
  4. Step 4: Simplify right side
    837.46x = 680,417.32
  5. Step 5: Solve for x
    x = 680,417.32/837.46
  6. Step 6: Final answer
    x = 812.48

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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.