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Finding the Fourth Proportional to 1,425.69, 2,133.99 and 765.93

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Solution

The fourth proportional to 1,425.69, 2,133.99 and 765.93 is: 1,146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.69 : 2,133.99 = 765.93 : x
  2. Step 2: Convert to fraction form
    1,425.69/2,133.99 = 765.93/x
  3. Step 3: Cross multiply
    1,425.69x = 2,133.99 × 765.93
  4. Step 4: Simplify right side
    1,425.69x = 1,634,486.96
  5. Step 5: Solve for x
    x = 1,634,486.96/1,425.69
  6. Step 6: Final answer
    x = 1,146.45

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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.