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Finding the Fourth Proportional to 545.94, 813.66 and 535.14

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Solution

The fourth proportional to 545.94, 813.66 and 535.14 is: 797.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.94 : 813.66 = 535.14 : x
  2. Step 2: Convert to fraction form
    545.94/813.66 = 535.14/x
  3. Step 3: Cross multiply
    545.94x = 813.66 × 535.14
  4. Step 4: Simplify right side
    545.94x = 435,422.01
  5. Step 5: Solve for x
    x = 435,422.01/545.94
  6. Step 6: Final answer
    x = 797.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.