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Finding the Fourth Proportional to 1,605.47, 2,407.37 and 874.85

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Solution

The fourth proportional to 1,605.47, 2,407.37 and 874.85 is: 1,311.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.47 : 2,407.37 = 874.85 : x
  2. Step 2: Convert to fraction form
    1,605.47/2,407.37 = 874.85/x
  3. Step 3: Cross multiply
    1,605.47x = 2,407.37 × 874.85
  4. Step 4: Simplify right side
    1,605.47x = 2,106,071.23
  5. Step 5: Solve for x
    x = 2,106,071.23/1,605.47
  6. Step 6: Final answer
    x = 1,311.81

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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.