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Finding the Fourth Proportional to 531.95, 734.40 and 364.10

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Solution

The fourth proportional to 531.95, 734.40 and 364.10 is: 502.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.95 : 734.40 = 364.10 : x
  2. Step 2: Convert to fraction form
    531.95/734.40 = 364.10/x
  3. Step 3: Cross multiply
    531.95x = 734.40 × 364.10
  4. Step 4: Simplify right side
    531.95x = 267,391.37
  5. Step 5: Solve for x
    x = 267,391.37/531.95
  6. Step 6: Final answer
    x = 502.67

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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.