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Finding the Fourth Proportional to 538.12, 805.78 and 477.06

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Solution

The fourth proportional to 538.12, 805.78 and 477.06 is: 714.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.12 : 805.78 = 477.06 : x
  2. Step 2: Convert to fraction form
    538.12/805.78 = 477.06/x
  3. Step 3: Cross multiply
    538.12x = 805.78 × 477.06
  4. Step 4: Simplify right side
    538.12x = 384,405.41
  5. Step 5: Solve for x
    x = 384,405.41/538.12
  6. Step 6: Final answer
    x = 714.35

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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.