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Finding the Fourth Proportional to 595.76, 821.14 and 418.78

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Solution

The fourth proportional to 595.76, 821.14 and 418.78 is: 577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.76 : 821.14 = 418.78 : x
  2. Step 2: Convert to fraction form
    595.76/821.14 = 418.78/x
  3. Step 3: Cross multiply
    595.76x = 821.14 × 418.78
  4. Step 4: Simplify right side
    595.76x = 343,877.01
  5. Step 5: Solve for x
    x = 343,877.01/595.76
  6. Step 6: Final answer
    x = 577.21

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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.