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Finding the Fourth Proportional to 896.58, 1,343.52 and 531

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Solution

The fourth proportional to 896.58, 1,343.52 and 531 is: 795.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.58 : 1,343.52 = 531 : x
  2. Step 2: Convert to fraction form
    896.58/1,343.52 = 531/x
  3. Step 3: Cross multiply
    896.58x = 1,343.52 × 531
  4. Step 4: Simplify right side
    896.58x = 713,409.12
  5. Step 5: Solve for x
    x = 713,409.12/896.58
  6. Step 6: Final answer
    x = 795.70

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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.