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Finding the Fourth Proportional to 700.82, 1,051.83 and 457.68

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Solution

The fourth proportional to 700.82, 1,051.83 and 457.68 is: 686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.82 : 1,051.83 = 457.68 : x
  2. Step 2: Convert to fraction form
    700.82/1,051.83 = 457.68/x
  3. Step 3: Cross multiply
    700.82x = 1,051.83 × 457.68
  4. Step 4: Simplify right side
    700.82x = 481,401.55
  5. Step 5: Solve for x
    x = 481,401.55/700.82
  6. Step 6: Final answer
    x = 686.92

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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.