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Finding the Fourth Proportional to 545.88, 817.62 and 442.68

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Solution

The fourth proportional to 545.88, 817.62 and 442.68 is: 663.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.88 : 817.62 = 442.68 : x
  2. Step 2: Convert to fraction form
    545.88/817.62 = 442.68/x
  3. Step 3: Cross multiply
    545.88x = 817.62 × 442.68
  4. Step 4: Simplify right side
    545.88x = 361,944.02
  5. Step 5: Solve for x
    x = 361,944.02/545.88
  6. Step 6: Final answer
    x = 663.05

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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.