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Finding the Fourth Proportional to 896.63, 1,345.67 and 458.19

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Solution

The fourth proportional to 896.63, 1,345.67 and 458.19 is: 687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.63 : 1,345.67 = 458.19 : x
  2. Step 2: Convert to fraction form
    896.63/1,345.67 = 458.19/x
  3. Step 3: Cross multiply
    896.63x = 1,345.67 × 458.19
  4. Step 4: Simplify right side
    896.63x = 616,573.68
  5. Step 5: Solve for x
    x = 616,573.68/896.63
  6. Step 6: Final answer
    x = 687.66

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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.