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Finding the Fourth Proportional to 1,303.29, 1,798.10 and 772.01

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Solution

The fourth proportional to 1,303.29, 1,798.10 and 772.01 is: 1,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.29 : 1,798.10 = 772.01 : x
  2. Step 2: Convert to fraction form
    1,303.29/1,798.10 = 772.01/x
  3. Step 3: Cross multiply
    1,303.29x = 1,798.10 × 772.01
  4. Step 4: Simplify right side
    1,303.29x = 1,388,142.91
  5. Step 5: Solve for x
    x = 1,388,142.91/1,303.29
  6. Step 6: Final answer
    x = 1,065.11

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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.