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Finding the Fourth Proportional to 651.16, 975.05 and 548.22

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Solution

The fourth proportional to 651.16, 975.05 and 548.22 is: 820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.16 : 975.05 = 548.22 : x
  2. Step 2: Convert to fraction form
    651.16/975.05 = 548.22/x
  3. Step 3: Cross multiply
    651.16x = 975.05 × 548.22
  4. Step 4: Simplify right side
    651.16x = 534,541.91
  5. Step 5: Solve for x
    x = 534,541.91/651.16
  6. Step 6: Final answer
    x = 820.91

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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.