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Finding the Fourth Proportional to 802.35, 1,202.72 and 436.68

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Solution

The fourth proportional to 802.35, 1,202.72 and 436.68 is: 654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.35 : 1,202.72 = 436.68 : x
  2. Step 2: Convert to fraction form
    802.35/1,202.72 = 436.68/x
  3. Step 3: Cross multiply
    802.35x = 1,202.72 × 436.68
  4. Step 4: Simplify right side
    802.35x = 525,201.59
  5. Step 5: Solve for x
    x = 525,201.59/802.35
  6. Step 6: Final answer
    x = 654.58

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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.