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Finding the Fourth Proportional to 504.63, 695.66 and 371.66

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Solution

The fourth proportional to 504.63, 695.66 and 371.66 is: 512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.63 : 695.66 = 371.66 : x
  2. Step 2: Convert to fraction form
    504.63/695.66 = 371.66/x
  3. Step 3: Cross multiply
    504.63x = 695.66 × 371.66
  4. Step 4: Simplify right side
    504.63x = 258,543.66
  5. Step 5: Solve for x
    x = 258,543.66/504.63
  6. Step 6: Final answer
    x = 512.34

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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.