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Finding the Fourth Proportional to 898.81, 1,345.50 and 816.55

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Solution

The fourth proportional to 898.81, 1,345.50 and 816.55 is: 1,222.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.81 : 1,345.50 = 816.55 : x
  2. Step 2: Convert to fraction form
    898.81/1,345.50 = 816.55/x
  3. Step 3: Cross multiply
    898.81x = 1,345.50 × 816.55
  4. Step 4: Simplify right side
    898.81x = 1,098,668.03
  5. Step 5: Solve for x
    x = 1,098,668.03/898.81
  6. Step 6: Final answer
    x = 1,222.36

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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.