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Finding the Fourth Proportional to 898.25, 1,345.62 and 589.16

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Solution

The fourth proportional to 898.25, 1,345.62 and 589.16 is: 882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.25 : 1,345.62 = 589.16 : x
  2. Step 2: Convert to fraction form
    898.25/1,345.62 = 589.16/x
  3. Step 3: Cross multiply
    898.25x = 1,345.62 × 589.16
  4. Step 4: Simplify right side
    898.25x = 792,785.48
  5. Step 5: Solve for x
    x = 792,785.48/898.25
  6. Step 6: Final answer
    x = 882.59

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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.