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Finding the Fourth Proportional to 910.88, 1,364.52 and 803.96

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Solution

The fourth proportional to 910.88, 1,364.52 and 803.96 is: 1,204.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.88 : 1,364.52 = 803.96 : x
  2. Step 2: Convert to fraction form
    910.88/1,364.52 = 803.96/x
  3. Step 3: Cross multiply
    910.88x = 1,364.52 × 803.96
  4. Step 4: Simplify right side
    910.88x = 1,097,019.50
  5. Step 5: Solve for x
    x = 1,097,019.50/910.88
  6. Step 6: Final answer
    x = 1,204.35

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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.