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Finding the Fourth Proportional to 531.54, 731.48 and 490.50

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Solution

The fourth proportional to 531.54, 731.48 and 490.50 is: 675.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.54 : 731.48 = 490.50 : x
  2. Step 2: Convert to fraction form
    531.54/731.48 = 490.50/x
  3. Step 3: Cross multiply
    531.54x = 731.48 × 490.50
  4. Step 4: Simplify right side
    531.54x = 358,788.49
  5. Step 5: Solve for x
    x = 358,788.49/531.54
  6. Step 6: Final answer
    x = 675.00

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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.