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Finding the Fourth Proportional to 1,756.32, 2,634.27 and 457.76

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Solution

The fourth proportional to 1,756.32, 2,634.27 and 457.76 is: 686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.32 : 2,634.27 = 457.76 : x
  2. Step 2: Convert to fraction form
    1,756.32/2,634.27 = 457.76/x
  3. Step 3: Cross multiply
    1,756.32x = 2,634.27 × 457.76
  4. Step 4: Simplify right side
    1,756.32x = 1,205,850.26
  5. Step 5: Solve for x
    x = 1,205,850.26/1,756.32
  6. Step 6: Final answer
    x = 686.58

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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.