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Finding the Fourth Proportional to 804.98, 1,108.32 and 732.08

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Solution

The fourth proportional to 804.98, 1,108.32 and 732.08 is: 1,007.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.98 : 1,108.32 = 732.08 : x
  2. Step 2: Convert to fraction form
    804.98/1,108.32 = 732.08/x
  3. Step 3: Cross multiply
    804.98x = 1,108.32 × 732.08
  4. Step 4: Simplify right side
    804.98x = 811,378.91
  5. Step 5: Solve for x
    x = 811,378.91/804.98
  6. Step 6: Final answer
    x = 1,007.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.