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Finding the Fourth Proportional to 545.98, 815.60 and 491.05

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Solution

The fourth proportional to 545.98, 815.60 and 491.05 is: 733.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.98 : 815.60 = 491.05 : x
  2. Step 2: Convert to fraction form
    545.98/815.60 = 491.05/x
  3. Step 3: Cross multiply
    545.98x = 815.60 × 491.05
  4. Step 4: Simplify right side
    545.98x = 400,498.89
  5. Step 5: Solve for x
    x = 400,498.89/545.98
  6. Step 6: Final answer
    x = 733.54

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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.