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Finding the Fourth Proportional to 1,605.88, 2,407.77 and 1,056.39

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Solution

The fourth proportional to 1,605.88, 2,407.77 and 1,056.39 is: 1,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.88 : 2,407.77 = 1,056.39 : x
  2. Step 2: Convert to fraction form
    1,605.88/2,407.77 = 1,056.39/x
  3. Step 3: Cross multiply
    1,605.88x = 2,407.77 × 1,056.39
  4. Step 4: Simplify right side
    1,605.88x = 2,543,544.15
  5. Step 5: Solve for x
    x = 2,543,544.15/1,605.88
  6. Step 6: Final answer
    x = 1,583.89

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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.