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Finding the Fourth Proportional to 595.01, 820.77 and 429.02

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Solution

The fourth proportional to 595.01, 820.77 and 429.02 is: 591.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.01 : 820.77 = 429.02 : x
  2. Step 2: Convert to fraction form
    595.01/820.77 = 429.02/x
  3. Step 3: Cross multiply
    595.01x = 820.77 × 429.02
  4. Step 4: Simplify right side
    595.01x = 352,122.64
  5. Step 5: Solve for x
    x = 352,122.64/595.01
  6. Step 6: Final answer
    x = 591.80

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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.