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Finding the Fourth Proportional to 829.54, 1,237.17 and 802.20

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Solution

The fourth proportional to 829.54, 1,237.17 and 802.20 is: 1,196.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.54 : 1,237.17 = 802.20 : x
  2. Step 2: Convert to fraction form
    829.54/1,237.17 = 802.20/x
  3. Step 3: Cross multiply
    829.54x = 1,237.17 × 802.20
  4. Step 4: Simplify right side
    829.54x = 992,465.42
  5. Step 5: Solve for x
    x = 992,465.42/829.54
  6. Step 6: Final answer
    x = 1,196.40

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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.