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Finding the Fourth Proportional to 545.57, 817.44 and 430.76

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Solution

The fourth proportional to 545.57, 817.44 and 430.76 is: 645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.57 : 817.44 = 430.76 : x
  2. Step 2: Convert to fraction form
    545.57/817.44 = 430.76/x
  3. Step 3: Cross multiply
    545.57x = 817.44 × 430.76
  4. Step 4: Simplify right side
    545.57x = 352,120.45
  5. Step 5: Solve for x
    x = 352,120.45/545.57
  6. Step 6: Final answer
    x = 645.42

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1.5x scale

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.