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Finding the Fourth Proportional to 504.93, 696.47 and 297.81

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Solution

The fourth proportional to 504.93, 696.47 and 297.81 is: 410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.93 : 696.47 = 297.81 : x
  2. Step 2: Convert to fraction form
    504.93/696.47 = 297.81/x
  3. Step 3: Cross multiply
    504.93x = 696.47 × 297.81
  4. Step 4: Simplify right side
    504.93x = 207,414.24
  5. Step 5: Solve for x
    x = 207,414.24/504.93
  6. Step 6: Final answer
    x = 410.78

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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.