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Finding the Fourth Proportional to 1,637.67, 2,455.77 and 712.77

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Solution

The fourth proportional to 1,637.67, 2,455.77 and 712.77 is: 1,068.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.67 : 2,455.77 = 712.77 : x
  2. Step 2: Convert to fraction form
    1,637.67/2,455.77 = 712.77/x
  3. Step 3: Cross multiply
    1,637.67x = 2,455.77 × 712.77
  4. Step 4: Simplify right side
    1,637.67x = 1,750,399.18
  5. Step 5: Solve for x
    x = 1,750,399.18/1,637.67
  6. Step 6: Final answer
    x = 1,068.84

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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.