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Finding the Fourth Proportional to 595.93, 821.52 and 418.35

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Solution

The fourth proportional to 595.93, 821.52 and 418.35 is: 576.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.93 : 821.52 = 418.35 : x
  2. Step 2: Convert to fraction form
    595.93/821.52 = 418.35/x
  3. Step 3: Cross multiply
    595.93x = 821.52 × 418.35
  4. Step 4: Simplify right side
    595.93x = 343,682.37
  5. Step 5: Solve for x
    x = 343,682.37/595.93
  6. Step 6: Final answer
    x = 576.72

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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.