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Finding the Fourth Proportional to 508.12, 757.61 and 473.44

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Solution

The fourth proportional to 508.12, 757.61 and 473.44 is: 705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.12 : 757.61 = 473.44 : x
  2. Step 2: Convert to fraction form
    508.12/757.61 = 473.44/x
  3. Step 3: Cross multiply
    508.12x = 757.61 × 473.44
  4. Step 4: Simplify right side
    508.12x = 358,682.88
  5. Step 5: Solve for x
    x = 358,682.88/508.12
  6. Step 6: Final answer
    x = 705.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.