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Finding the Fourth Proportional to 817.70, 1,225.20 and 701.60

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Solution

The fourth proportional to 817.70, 1,225.20 and 701.60 is: 1,051.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.70 : 1,225.20 = 701.60 : x
  2. Step 2: Convert to fraction form
    817.70/1,225.20 = 701.60/x
  3. Step 3: Cross multiply
    817.70x = 1,225.20 × 701.60
  4. Step 4: Simplify right side
    817.70x = 859,600.32
  5. Step 5: Solve for x
    x = 859,600.32/817.70
  6. Step 6: Final answer
    x = 1,051.24

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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.