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Finding the Fourth Proportional to 542.65, 812.77 and 419.95

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Solution

The fourth proportional to 542.65, 812.77 and 419.95 is: 628.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.65 : 812.77 = 419.95 : x
  2. Step 2: Convert to fraction form
    542.65/812.77 = 419.95/x
  3. Step 3: Cross multiply
    542.65x = 812.77 × 419.95
  4. Step 4: Simplify right side
    542.65x = 341,322.76
  5. Step 5: Solve for x
    x = 341,322.76/542.65
  6. Step 6: Final answer
    x = 628.99

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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.