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Finding the Fourth Proportional to 896.72, 1,335.61 and 856.74

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Solution

The fourth proportional to 896.72, 1,335.61 and 856.74 is: 1,276.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.72 : 1,335.61 = 856.74 : x
  2. Step 2: Convert to fraction form
    896.72/1,335.61 = 856.74/x
  3. Step 3: Cross multiply
    896.72x = 1,335.61 × 856.74
  4. Step 4: Simplify right side
    896.72x = 1,144,270.51
  5. Step 5: Solve for x
    x = 1,144,270.51/896.72
  6. Step 6: Final answer
    x = 1,276.06

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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.