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Finding the Fourth Proportional to 1,756.41, 2,634.61 and 457.88

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Solution

The fourth proportional to 1,756.41, 2,634.61 and 457.88 is: 686.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.41 : 2,634.61 = 457.88 : x
  2. Step 2: Convert to fraction form
    1,756.41/2,634.61 = 457.88/x
  3. Step 3: Cross multiply
    1,756.41x = 2,634.61 × 457.88
  4. Step 4: Simplify right side
    1,756.41x = 1,206,319.76
  5. Step 5: Solve for x
    x = 1,206,319.76/1,756.41
  6. Step 6: Final answer
    x = 686.81

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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.