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Finding the Fourth Proportional to 549.86, 820.26 and 510.57

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Solution

The fourth proportional to 549.86, 820.26 and 510.57 is: 761.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.86 : 820.26 = 510.57 : x
  2. Step 2: Convert to fraction form
    549.86/820.26 = 510.57/x
  3. Step 3: Cross multiply
    549.86x = 820.26 × 510.57
  4. Step 4: Simplify right side
    549.86x = 418,800.15
  5. Step 5: Solve for x
    x = 418,800.15/549.86
  6. Step 6: Final answer
    x = 761.66

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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.