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Finding the Fourth Proportional to 940.60, 1,404.19 and 802.20

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Solution

The fourth proportional to 940.60, 1,404.19 and 802.20 is: 1,197.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.60 : 1,404.19 = 802.20 : x
  2. Step 2: Convert to fraction form
    940.60/1,404.19 = 802.20/x
  3. Step 3: Cross multiply
    940.60x = 1,404.19 × 802.20
  4. Step 4: Simplify right side
    940.60x = 1,126,441.22
  5. Step 5: Solve for x
    x = 1,126,441.22/940.60
  6. Step 6: Final answer
    x = 1,197.58

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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.