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Finding the Fourth Proportional to 651.32, 975.84 and 542.33

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Solution

The fourth proportional to 651.32, 975.84 and 542.33 is: 812.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.32 : 975.84 = 542.33 : x
  2. Step 2: Convert to fraction form
    651.32/975.84 = 542.33/x
  3. Step 3: Cross multiply
    651.32x = 975.84 × 542.33
  4. Step 4: Simplify right side
    651.32x = 529,229.75
  5. Step 5: Solve for x
    x = 529,229.75/651.32
  6. Step 6: Final answer
    x = 812.55

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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.