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Finding the Fourth Proportional to 542.16, 811.26 and 455.76

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Solution

The fourth proportional to 542.16, 811.26 and 455.76 is: 681.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.16 : 811.26 = 455.76 : x
  2. Step 2: Convert to fraction form
    542.16/811.26 = 455.76/x
  3. Step 3: Cross multiply
    542.16x = 811.26 × 455.76
  4. Step 4: Simplify right side
    542.16x = 369,739.86
  5. Step 5: Solve for x
    x = 369,739.86/542.16
  6. Step 6: Final answer
    x = 681.98

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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.