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Finding the Fourth Proportional to 549.80, 817.50 and 527.94

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Solution

The fourth proportional to 549.80, 817.50 and 527.94 is: 785.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.80 : 817.50 = 527.94 : x
  2. Step 2: Convert to fraction form
    549.80/817.50 = 527.94/x
  3. Step 3: Cross multiply
    549.80x = 817.50 × 527.94
  4. Step 4: Simplify right side
    549.80x = 431,590.95
  5. Step 5: Solve for x
    x = 431,590.95/549.80
  6. Step 6: Final answer
    x = 785.00

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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.