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Finding the Fourth Proportional to 604.94, 830.10 and 549.50

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Solution

The fourth proportional to 604.94, 830.10 and 549.50 is: 754.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.94 : 830.10 = 549.50 : x
  2. Step 2: Convert to fraction form
    604.94/830.10 = 549.50/x
  3. Step 3: Cross multiply
    604.94x = 830.10 × 549.50
  4. Step 4: Simplify right side
    604.94x = 456,139.95
  5. Step 5: Solve for x
    x = 456,139.95/604.94
  6. Step 6: Final answer
    x = 754.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.