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Finding the Fourth Proportional to 410.00, 565.37 and 377.95

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Solution

The fourth proportional to 410.00, 565.37 and 377.95 is: 521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.00 : 565.37 = 377.95 : x
  2. Step 2: Convert to fraction form
    410.00/565.37 = 377.95/x
  3. Step 3: Cross multiply
    410.00x = 565.37 × 377.95
  4. Step 4: Simplify right side
    410.00x = 213,678.29
  5. Step 5: Solve for x
    x = 213,678.29/410.00
  6. Step 6: Final answer
    x = 521.17

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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.