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Finding the Fourth Proportional to 802.57, 1,204.48 and 412.55

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Solution

The fourth proportional to 802.57, 1,204.48 and 412.55 is: 619.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.57 : 1,204.48 = 412.55 : x
  2. Step 2: Convert to fraction form
    802.57/1,204.48 = 412.55/x
  3. Step 3: Cross multiply
    802.57x = 1,204.48 × 412.55
  4. Step 4: Simplify right side
    802.57x = 496,908.22
  5. Step 5: Solve for x
    x = 496,908.22/802.57
  6. Step 6: Final answer
    x = 619.15

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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.