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Finding the Fourth Proportional to 802.60, 1,204.26 and 514.60

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Solution

The fourth proportional to 802.60, 1,204.26 and 514.60 is: 772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.60 : 1,204.26 = 514.60 : x
  2. Step 2: Convert to fraction form
    802.60/1,204.26 = 514.60/x
  3. Step 3: Cross multiply
    802.60x = 1,204.26 × 514.60
  4. Step 4: Simplify right side
    802.60x = 619,712.20
  5. Step 5: Solve for x
    x = 619,712.20/802.60
  6. Step 6: Final answer
    x = 772.13

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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.