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Finding the Fourth Proportional to 545.14, 816.99 and 407.08

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Solution

The fourth proportional to 545.14, 816.99 and 407.08 is: 610.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.14 : 816.99 = 407.08 : x
  2. Step 2: Convert to fraction form
    545.14/816.99 = 407.08/x
  3. Step 3: Cross multiply
    545.14x = 816.99 × 407.08
  4. Step 4: Simplify right side
    545.14x = 332,580.29
  5. Step 5: Solve for x
    x = 332,580.29/545.14
  6. Step 6: Final answer
    x = 610.08

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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.