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Finding the Fourth Proportional to 735.40, 1,101.54 and 580.60

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Solution

The fourth proportional to 735.40, 1,101.54 and 580.60 is: 869.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.40 : 1,101.54 = 580.60 : x
  2. Step 2: Convert to fraction form
    735.40/1,101.54 = 580.60/x
  3. Step 3: Cross multiply
    735.40x = 1,101.54 × 580.60
  4. Step 4: Simplify right side
    735.40x = 639,554.12
  5. Step 5: Solve for x
    x = 639,554.12/735.40
  6. Step 6: Final answer
    x = 869.67

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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.