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Finding the Fourth Proportional to 545.10, 822.17 and 509.10

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Solution

The fourth proportional to 545.10, 822.17 and 509.10 is: 767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.10 : 822.17 = 509.10 : x
  2. Step 2: Convert to fraction form
    545.10/822.17 = 509.10/x
  3. Step 3: Cross multiply
    545.10x = 822.17 × 509.10
  4. Step 4: Simplify right side
    545.10x = 418,564.20
  5. Step 5: Solve for x
    x = 418,564.20/545.10
  6. Step 6: Final answer
    x = 767.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.