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Finding the Fourth Proportional to 802.48, 1,201.15 and 431.36

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Solution

The fourth proportional to 802.48, 1,201.15 and 431.36 is: 645.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.48 : 1,201.15 = 431.36 : x
  2. Step 2: Convert to fraction form
    802.48/1,201.15 = 431.36/x
  3. Step 3: Cross multiply
    802.48x = 1,201.15 × 431.36
  4. Step 4: Simplify right side
    802.48x = 518,128.06
  5. Step 5: Solve for x
    x = 518,128.06/802.48
  6. Step 6: Final answer
    x = 645.66

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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.