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Finding the Fourth Proportional to 545.34, 812.87 and 501.60

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Solution

The fourth proportional to 545.34, 812.87 and 501.60 is: 747.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.34 : 812.87 = 501.60 : x
  2. Step 2: Convert to fraction form
    545.34/812.87 = 501.60/x
  3. Step 3: Cross multiply
    545.34x = 812.87 × 501.60
  4. Step 4: Simplify right side
    545.34x = 407,736.85
  5. Step 5: Solve for x
    x = 407,736.85/545.34
  6. Step 6: Final answer
    x = 747.67

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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.