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Finding the Fourth Proportional to 735.02, 1,102.54 and 215.07

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Solution

The fourth proportional to 735.02, 1,102.54 and 215.07 is: 322.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.02 : 1,102.54 = 215.07 : x
  2. Step 2: Convert to fraction form
    735.02/1,102.54 = 215.07/x
  3. Step 3: Cross multiply
    735.02x = 1,102.54 × 215.07
  4. Step 4: Simplify right side
    735.02x = 237,123.28
  5. Step 5: Solve for x
    x = 237,123.28/735.02
  6. Step 6: Final answer
    x = 322.61

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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.