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Finding the Fourth Proportional to 504.06, 695.48 and 291.38

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Solution

The fourth proportional to 504.06, 695.48 and 291.38 is: 402.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.06 : 695.48 = 291.38 : x
  2. Step 2: Convert to fraction form
    504.06/695.48 = 291.38/x
  3. Step 3: Cross multiply
    504.06x = 695.48 × 291.38
  4. Step 4: Simplify right side
    504.06x = 202,644.03
  5. Step 5: Solve for x
    x = 202,644.03/504.06
  6. Step 6: Final answer
    x = 402.02

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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.