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Finding the Fourth Proportional to 1,622.82, 2,434.23 and 756.93

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Solution

The fourth proportional to 1,622.82, 2,434.23 and 756.93 is: 1,135.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.82 : 2,434.23 = 756.93 : x
  2. Step 2: Convert to fraction form
    1,622.82/2,434.23 = 756.93/x
  3. Step 3: Cross multiply
    1,622.82x = 2,434.23 × 756.93
  4. Step 4: Simplify right side
    1,622.82x = 1,842,541.71
  5. Step 5: Solve for x
    x = 1,842,541.71/1,622.82
  6. Step 6: Final answer
    x = 1,135.40

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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.