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Finding the Fourth Proportional to 531.54, 732.42 and 508.50

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Solution

The fourth proportional to 531.54, 732.42 and 508.50 is: 700.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.54 : 732.42 = 508.50 : x
  2. Step 2: Convert to fraction form
    531.54/732.42 = 508.50/x
  3. Step 3: Cross multiply
    531.54x = 732.42 × 508.50
  4. Step 4: Simplify right side
    531.54x = 372,435.57
  5. Step 5: Solve for x
    x = 372,435.57/531.54
  6. Step 6: Final answer
    x = 700.67

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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.