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Finding the Fourth Proportional to 803.16, 1,202.69 and 711.58

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Solution

The fourth proportional to 803.16, 1,202.69 and 711.58 is: 1,065.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.16 : 1,202.69 = 711.58 : x
  2. Step 2: Convert to fraction form
    803.16/1,202.69 = 711.58/x
  3. Step 3: Cross multiply
    803.16x = 1,202.69 × 711.58
  4. Step 4: Simplify right side
    803.16x = 855,806.59
  5. Step 5: Solve for x
    x = 855,806.59/803.16
  6. Step 6: Final answer
    x = 1,065.55

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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.