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Finding the Fourth Proportional to 504.50, 696.29 and 283.51

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Solution

The fourth proportional to 504.50, 696.29 and 283.51 is: 391.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.50 : 696.29 = 283.51 : x
  2. Step 2: Convert to fraction form
    504.50/696.29 = 283.51/x
  3. Step 3: Cross multiply
    504.50x = 696.29 × 283.51
  4. Step 4: Simplify right side
    504.50x = 197,402.02
  5. Step 5: Solve for x
    x = 197,402.02/504.50
  6. Step 6: Final answer
    x = 391.28

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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.