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Finding the Fourth Proportional to 595.82, 822.21 and 421.40

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Solution

The fourth proportional to 595.82, 822.21 and 421.40 is: 581.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.82 : 822.21 = 421.40 : x
  2. Step 2: Convert to fraction form
    595.82/822.21 = 421.40/x
  3. Step 3: Cross multiply
    595.82x = 822.21 × 421.40
  4. Step 4: Simplify right side
    595.82x = 346,479.29
  5. Step 5: Solve for x
    x = 346,479.29/595.82
  6. Step 6: Final answer
    x = 581.52

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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.