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Finding the Fourth Proportional to 504.23, 695.80 and 283.14

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Solution

The fourth proportional to 504.23, 695.80 and 283.14 is: 390.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.23 : 695.80 = 283.14 : x
  2. Step 2: Convert to fraction form
    504.23/695.80 = 283.14/x
  3. Step 3: Cross multiply
    504.23x = 695.80 × 283.14
  4. Step 4: Simplify right side
    504.23x = 197,006.36
  5. Step 5: Solve for x
    x = 197,006.36/504.23
  6. Step 6: Final answer
    x = 390.71

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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.