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Finding the Fourth Proportional to 896.46, 1,345.10 and 463.38

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Solution

The fourth proportional to 896.46, 1,345.10 and 463.38 is: 695.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.46 : 1,345.10 = 463.38 : x
  2. Step 2: Convert to fraction form
    896.46/1,345.10 = 463.38/x
  3. Step 3: Cross multiply
    896.46x = 1,345.10 × 463.38
  4. Step 4: Simplify right side
    896.46x = 623,292.44
  5. Step 5: Solve for x
    x = 623,292.44/896.46
  6. Step 6: Final answer
    x = 695.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.