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Finding the Fourth Proportional to 595.91, 821.55 and 418.64

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Solution

The fourth proportional to 595.91, 821.55 and 418.64 is: 577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.91 : 821.55 = 418.64 : x
  2. Step 2: Convert to fraction form
    595.91/821.55 = 418.64/x
  3. Step 3: Cross multiply
    595.91x = 821.55 × 418.64
  4. Step 4: Simplify right side
    595.91x = 343,929.58
  5. Step 5: Solve for x
    x = 343,929.58/595.91
  6. Step 6: Final answer
    x = 577.16

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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.