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Finding the Fourth Proportional to 803.53, 1,205.21 and 545.19

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Solution

The fourth proportional to 803.53, 1,205.21 and 545.19 is: 817.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.53 : 1,205.21 = 545.19 : x
  2. Step 2: Convert to fraction form
    803.53/1,205.21 = 545.19/x
  3. Step 3: Cross multiply
    803.53x = 1,205.21 × 545.19
  4. Step 4: Simplify right side
    803.53x = 657,065.71
  5. Step 5: Solve for x
    x = 657,065.71/803.53
  6. Step 6: Final answer
    x = 817.72

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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.