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Finding the Fourth Proportional to 1,303.69, 1,798.97 and 772.78

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Solution

The fourth proportional to 1,303.69, 1,798.97 and 772.78 is: 1,066.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.69 : 1,798.97 = 772.78 : x
  2. Step 2: Convert to fraction form
    1,303.69/1,798.97 = 772.78/x
  3. Step 3: Cross multiply
    1,303.69x = 1,798.97 × 772.78
  4. Step 4: Simplify right side
    1,303.69x = 1,390,208.04
  5. Step 5: Solve for x
    x = 1,390,208.04/1,303.69
  6. Step 6: Final answer
    x = 1,066.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.