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Finding the Fourth Proportional to 504.44, 695.38 and 434.20

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Solution

The fourth proportional to 504.44, 695.38 and 434.20 is: 598.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.44 : 695.38 = 434.20 : x
  2. Step 2: Convert to fraction form
    504.44/695.38 = 434.20/x
  3. Step 3: Cross multiply
    504.44x = 695.38 × 434.20
  4. Step 4: Simplify right side
    504.44x = 301,934.00
  5. Step 5: Solve for x
    x = 301,934.00/504.44
  6. Step 6: Final answer
    x = 598.55

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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.