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Finding the Fourth Proportional to 1,604.60, 2,406.63 and 508.71

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Solution

The fourth proportional to 1,604.60, 2,406.63 and 508.71 is: 762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.60 : 2,406.63 = 508.71 : x
  2. Step 2: Convert to fraction form
    1,604.60/2,406.63 = 508.71/x
  3. Step 3: Cross multiply
    1,604.60x = 2,406.63 × 508.71
  4. Step 4: Simplify right side
    1,604.60x = 1,224,276.75
  5. Step 5: Solve for x
    x = 1,224,276.75/1,604.60
  6. Step 6: Final answer
    x = 762.98

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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.