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Finding the Fourth Proportional to 1,623.59, 2,434.16 and 842.55

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Solution

The fourth proportional to 1,623.59, 2,434.16 and 842.55 is: 1,263.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.59 : 2,434.16 = 842.55 : x
  2. Step 2: Convert to fraction form
    1,623.59/2,434.16 = 842.55/x
  3. Step 3: Cross multiply
    1,623.59x = 2,434.16 × 842.55
  4. Step 4: Simplify right side
    1,623.59x = 2,050,897.30
  5. Step 5: Solve for x
    x = 2,050,897.30/1,623.59
  6. Step 6: Final answer
    x = 1,263.19

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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.