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Finding the Fourth Proportional to 623.88, 936.36 and 542.34

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Solution

The fourth proportional to 623.88, 936.36 and 542.34 is: 813.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.88 : 936.36 = 542.34 : x
  2. Step 2: Convert to fraction form
    623.88/936.36 = 542.34/x
  3. Step 3: Cross multiply
    623.88x = 936.36 × 542.34
  4. Step 4: Simplify right side
    623.88x = 507,825.48
  5. Step 5: Solve for x
    x = 507,825.48/623.88
  6. Step 6: Final answer
    x = 813.98

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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.