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Finding the Fourth Proportional to 1,202, 1,800.10 and 584.18

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Solution

The fourth proportional to 1,202, 1,800.10 and 584.18 is: 874.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202 : 1,800.10 = 584.18 : x
  2. Step 2: Convert to fraction form
    1,202/1,800.10 = 584.18/x
  3. Step 3: Cross multiply
    1,202x = 1,800.10 × 584.18
  4. Step 4: Simplify right side
    1,202x = 1,051,582.42
  5. Step 5: Solve for x
    x = 1,051,582.42/1,202
  6. Step 6: Final answer
    x = 874.86

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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.