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Finding the Fourth Proportional to 1,602.83, 2,402.80 and 830.99

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Solution

The fourth proportional to 1,602.83, 2,402.80 and 830.99 is: 1,245.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.83 : 2,402.80 = 830.99 : x
  2. Step 2: Convert to fraction form
    1,602.83/2,402.80 = 830.99/x
  3. Step 3: Cross multiply
    1,602.83x = 2,402.80 × 830.99
  4. Step 4: Simplify right side
    1,602.83x = 1,996,702.77
  5. Step 5: Solve for x
    x = 1,996,702.77/1,602.83
  6. Step 6: Final answer
    x = 1,245.74

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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.