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Finding the Fourth Proportional to 504.63, 753.49 and 452.23

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Solution

The fourth proportional to 504.63, 753.49 and 452.23 is: 675.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.63 : 753.49 = 452.23 : x
  2. Step 2: Convert to fraction form
    504.63/753.49 = 452.23/x
  3. Step 3: Cross multiply
    504.63x = 753.49 × 452.23
  4. Step 4: Simplify right side
    504.63x = 340,750.78
  5. Step 5: Solve for x
    x = 340,750.78/504.63
  6. Step 6: Final answer
    x = 675.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.