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Finding the Fourth Proportional to 802.50, 1,201.59 and 455.33

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Solution

The fourth proportional to 802.50, 1,201.59 and 455.33 is: 681.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.50 : 1,201.59 = 455.33 : x
  2. Step 2: Convert to fraction form
    802.50/1,201.59 = 455.33/x
  3. Step 3: Cross multiply
    802.50x = 1,201.59 × 455.33
  4. Step 4: Simplify right side
    802.50x = 547,113.97
  5. Step 5: Solve for x
    x = 547,113.97/802.50
  6. Step 6: Final answer
    x = 681.76

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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.