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Finding the Fourth Proportional to 545.63, 817.58 and 325.71

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Solution

The fourth proportional to 545.63, 817.58 and 325.71 is: 488.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.63 : 817.58 = 325.71 : x
  2. Step 2: Convert to fraction form
    545.63/817.58 = 325.71/x
  3. Step 3: Cross multiply
    545.63x = 817.58 × 325.71
  4. Step 4: Simplify right side
    545.63x = 266,296.03
  5. Step 5: Solve for x
    x = 266,296.03/545.63
  6. Step 6: Final answer
    x = 488.05

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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.