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Finding the Fourth Proportional to 545.03, 816.41 and 407.89

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Solution

The fourth proportional to 545.03, 816.41 and 407.89 is: 610.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.03 : 816.41 = 407.89 : x
  2. Step 2: Convert to fraction form
    545.03/816.41 = 407.89/x
  3. Step 3: Cross multiply
    545.03x = 816.41 × 407.89
  4. Step 4: Simplify right side
    545.03x = 333,007.52
  5. Step 5: Solve for x
    x = 333,007.52/545.03
  6. Step 6: Final answer
    x = 610.98

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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.