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Finding the Fourth Proportional to 423.46, 583.90 and 398.35

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Solution

The fourth proportional to 423.46, 583.90 and 398.35 is: 549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.46 : 583.90 = 398.35 : x
  2. Step 2: Convert to fraction form
    423.46/583.90 = 398.35/x
  3. Step 3: Cross multiply
    423.46x = 583.90 × 398.35
  4. Step 4: Simplify right side
    423.46x = 232,596.57
  5. Step 5: Solve for x
    x = 232,596.57/423.46
  6. Step 6: Final answer
    x = 549.28

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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.