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Finding the Fourth Proportional to 501.30, 753.57 and 450.18

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Solution

The fourth proportional to 501.30, 753.57 and 450.18 is: 676.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.30 : 753.57 = 450.18 : x
  2. Step 2: Convert to fraction form
    501.30/753.57 = 450.18/x
  3. Step 3: Cross multiply
    501.30x = 753.57 × 450.18
  4. Step 4: Simplify right side
    501.30x = 339,242.14
  5. Step 5: Solve for x
    x = 339,242.14/501.30
  6. Step 6: Final answer
    x = 676.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.