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Finding the Fourth Proportional to 434.92, 595.85 and 417.64

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Solution

The fourth proportional to 434.92, 595.85 and 417.64 is: 572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.92 : 595.85 = 417.64 : x
  2. Step 2: Convert to fraction form
    434.92/595.85 = 417.64/x
  3. Step 3: Cross multiply
    434.92x = 595.85 × 417.64
  4. Step 4: Simplify right side
    434.92x = 248,850.79
  5. Step 5: Solve for x
    x = 248,850.79/434.92
  6. Step 6: Final answer
    x = 572.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.