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Finding the Fourth Proportional to 1,223.30, 1,835.22 and 607.34

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Solution

The fourth proportional to 1,223.30, 1,835.22 and 607.34 is: 911.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.30 : 1,835.22 = 607.34 : x
  2. Step 2: Convert to fraction form
    1,223.30/1,835.22 = 607.34/x
  3. Step 3: Cross multiply
    1,223.30x = 1,835.22 × 607.34
  4. Step 4: Simplify right side
    1,223.30x = 1,114,602.51
  5. Step 5: Solve for x
    x = 1,114,602.51/1,223.30
  6. Step 6: Final answer
    x = 911.14

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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.