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Finding the Fourth Proportional to 595.38, 823.12 and 447.78

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Solution

The fourth proportional to 595.38, 823.12 and 447.78 is: 619.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.38 : 823.12 = 447.78 : x
  2. Step 2: Convert to fraction form
    595.38/823.12 = 447.78/x
  3. Step 3: Cross multiply
    595.38x = 823.12 × 447.78
  4. Step 4: Simplify right side
    595.38x = 368,576.67
  5. Step 5: Solve for x
    x = 368,576.67/595.38
  6. Step 6: Final answer
    x = 619.06

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Half scale
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Double scale
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1.5x scale

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.