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Finding the Fourth Proportional to 651.40, 975.90 and 548.20

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Solution

The fourth proportional to 651.40, 975.90 and 548.20 is: 821.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.40 : 975.90 = 548.20 : x
  2. Step 2: Convert to fraction form
    651.40/975.90 = 548.20/x
  3. Step 3: Cross multiply
    651.40x = 975.90 × 548.20
  4. Step 4: Simplify right side
    651.40x = 534,988.38
  5. Step 5: Solve for x
    x = 534,988.38/651.40
  6. Step 6: Final answer
    x = 821.29

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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.