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Finding the Fourth Proportional to 896.62, 1,345.01 and 457.70

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Solution

The fourth proportional to 896.62, 1,345.01 and 457.70 is: 686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.62 : 1,345.01 = 457.70 : x
  2. Step 2: Convert to fraction form
    896.62/1,345.01 = 457.70/x
  3. Step 3: Cross multiply
    896.62x = 1,345.01 × 457.70
  4. Step 4: Simplify right side
    896.62x = 615,609.63
  5. Step 5: Solve for x
    x = 615,609.63/896.62
  6. Step 6: Final answer
    x = 686.59

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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.