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Finding the Fourth Proportional to 1,303.47, 1,797.40 and 1,065.64

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Solution

The fourth proportional to 1,303.47, 1,797.40 and 1,065.64 is: 1,469.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.47 : 1,797.40 = 1,065.64 : x
  2. Step 2: Convert to fraction form
    1,303.47/1,797.40 = 1,065.64/x
  3. Step 3: Cross multiply
    1,303.47x = 1,797.40 × 1,065.64
  4. Step 4: Simplify right side
    1,303.47x = 1,915,381.34
  5. Step 5: Solve for x
    x = 1,915,381.34/1,303.47
  6. Step 6: Final answer
    x = 1,469.45

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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.