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Finding the Fourth Proportional to 595.38, 820.50 and 429.30

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Solution

The fourth proportional to 595.38, 820.50 and 429.30 is: 591.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.38 : 820.50 = 429.30 : x
  2. Step 2: Convert to fraction form
    595.38/820.50 = 429.30/x
  3. Step 3: Cross multiply
    595.38x = 820.50 × 429.30
  4. Step 4: Simplify right side
    595.38x = 352,240.65
  5. Step 5: Solve for x
    x = 352,240.65/595.38
  6. Step 6: Final answer
    x = 591.62

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Double scale
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Similar ratio
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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.