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Finding the Fourth Proportional to 896.16, 1,339.68 and 803.40

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Solution

The fourth proportional to 896.16, 1,339.68 and 803.40 is: 1,201.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.16 : 1,339.68 = 803.40 : x
  2. Step 2: Convert to fraction form
    896.16/1,339.68 = 803.40/x
  3. Step 3: Cross multiply
    896.16x = 1,339.68 × 803.40
  4. Step 4: Simplify right side
    896.16x = 1,076,298.91
  5. Step 5: Solve for x
    x = 1,076,298.91/896.16
  6. Step 6: Final answer
    x = 1,201.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.