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Finding the Fourth Proportional to 545.65, 751.34 and 466.37

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Solution

The fourth proportional to 545.65, 751.34 and 466.37 is: 642.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.65 : 751.34 = 466.37 : x
  2. Step 2: Convert to fraction form
    545.65/751.34 = 466.37/x
  3. Step 3: Cross multiply
    545.65x = 751.34 × 466.37
  4. Step 4: Simplify right side
    545.65x = 350,399.85
  5. Step 5: Solve for x
    x = 350,399.85/545.65
  6. Step 6: Final answer
    x = 642.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.