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Finding the Fourth Proportional to 802.60, 1,108.10 and 519.50

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Solution

The fourth proportional to 802.60, 1,108.10 and 519.50 is: 717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.60 : 1,108.10 = 519.50 : x
  2. Step 2: Convert to fraction form
    802.60/1,108.10 = 519.50/x
  3. Step 3: Cross multiply
    802.60x = 1,108.10 × 519.50
  4. Step 4: Simplify right side
    802.60x = 575,657.95
  5. Step 5: Solve for x
    x = 575,657.95/802.60
  6. Step 6: Final answer
    x = 717.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.