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Finding the Fourth Proportional to 531.72, 734.08 and 401.40

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Solution

The fourth proportional to 531.72, 734.08 and 401.40 is: 554.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.72 : 734.08 = 401.40 : x
  2. Step 2: Convert to fraction form
    531.72/734.08 = 401.40/x
  3. Step 3: Cross multiply
    531.72x = 734.08 × 401.40
  4. Step 4: Simplify right side
    531.72x = 294,659.71
  5. Step 5: Solve for x
    x = 294,659.71/531.72
  6. Step 6: Final answer
    x = 554.16

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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.