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Finding the Fourth Proportional to 803.76, 1,108.70 and 508.80

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Solution

The fourth proportional to 803.76, 1,108.70 and 508.80 is: 701.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.76 : 1,108.70 = 508.80 : x
  2. Step 2: Convert to fraction form
    803.76/1,108.70 = 508.80/x
  3. Step 3: Cross multiply
    803.76x = 1,108.70 × 508.80
  4. Step 4: Simplify right side
    803.76x = 564,106.56
  5. Step 5: Solve for x
    x = 564,106.56/803.76
  6. Step 6: Final answer
    x = 701.83

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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.