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Finding the Fourth Proportional to 821.51, 1,225.90 and 733.90

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Solution

The fourth proportional to 821.51, 1,225.90 and 733.90 is: 1,095.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.51 : 1,225.90 = 733.90 : x
  2. Step 2: Convert to fraction form
    821.51/1,225.90 = 733.90/x
  3. Step 3: Cross multiply
    821.51x = 1,225.90 × 733.90
  4. Step 4: Simplify right side
    821.51x = 899,683.11
  5. Step 5: Solve for x
    x = 899,683.11/821.51
  6. Step 6: Final answer
    x = 1,095.16

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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.