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Finding the Fourth Proportional to 888.51, 1,329.75 and 823.53

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Solution

The fourth proportional to 888.51, 1,329.75 and 823.53 is: 1,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.51 : 1,329.75 = 823.53 : x
  2. Step 2: Convert to fraction form
    888.51/1,329.75 = 823.53/x
  3. Step 3: Cross multiply
    888.51x = 1,329.75 × 823.53
  4. Step 4: Simplify right side
    888.51x = 1,095,089.02
  5. Step 5: Solve for x
    x = 1,095,089.02/888.51
  6. Step 6: Final answer
    x = 1,232.50

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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.