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Finding the Fourth Proportional to 545.04, 813.83 and 468.09

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Solution

The fourth proportional to 545.04, 813.83 and 468.09 is: 698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.04 : 813.83 = 468.09 : x
  2. Step 2: Convert to fraction form
    545.04/813.83 = 468.09/x
  3. Step 3: Cross multiply
    545.04x = 813.83 × 468.09
  4. Step 4: Simplify right side
    545.04x = 380,943.34
  5. Step 5: Solve for x
    x = 380,943.34/545.04
  6. Step 6: Final answer
    x = 698.93

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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.