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Finding the Fourth Proportional to 545.89, 752.53 and 414.67

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Solution

The fourth proportional to 545.89, 752.53 and 414.67 is: 571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.89 : 752.53 = 414.67 : x
  2. Step 2: Convert to fraction form
    545.89/752.53 = 414.67/x
  3. Step 3: Cross multiply
    545.89x = 752.53 × 414.67
  4. Step 4: Simplify right side
    545.89x = 312,045.78
  5. Step 5: Solve for x
    x = 312,045.78/545.89
  6. Step 6: Final answer
    x = 571.63

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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.