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Finding the Fourth Proportional to 542.16, 746.46 and 468.36

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Solution

The fourth proportional to 542.16, 746.46 and 468.36 is: 644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.16 : 746.46 = 468.36 : x
  2. Step 2: Convert to fraction form
    542.16/746.46 = 468.36/x
  3. Step 3: Cross multiply
    542.16x = 746.46 × 468.36
  4. Step 4: Simplify right side
    542.16x = 349,612.01
  5. Step 5: Solve for x
    x = 349,612.01/542.16
  6. Step 6: Final answer
    x = 644.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.