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Finding the Fourth Proportional to 401.08, 597.35 and 391.54

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Solution

The fourth proportional to 401.08, 597.35 and 391.54 is: 583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.08 : 597.35 = 391.54 : x
  2. Step 2: Convert to fraction form
    401.08/597.35 = 391.54/x
  3. Step 3: Cross multiply
    401.08x = 597.35 × 391.54
  4. Step 4: Simplify right side
    401.08x = 233,886.42
  5. Step 5: Solve for x
    x = 233,886.42/401.08
  6. Step 6: Final answer
    x = 583.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.