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Finding the Fourth Proportional to 1,303.62, 1,799.04 and 772.53

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Solution

The fourth proportional to 1,303.62, 1,799.04 and 772.53 is: 1,066.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.62 : 1,799.04 = 772.53 : x
  2. Step 2: Convert to fraction form
    1,303.62/1,799.04 = 772.53/x
  3. Step 3: Cross multiply
    1,303.62x = 1,799.04 × 772.53
  4. Step 4: Simplify right side
    1,303.62x = 1,389,812.37
  5. Step 5: Solve for x
    x = 1,389,812.37/1,303.62
  6. Step 6: Final answer
    x = 1,066.12

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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.