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Finding the Fourth Proportional to 504.64, 695.37 and 347.32

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Solution

The fourth proportional to 504.64, 695.37 and 347.32 is: 478.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.64 : 695.37 = 347.32 : x
  2. Step 2: Convert to fraction form
    504.64/695.37 = 347.32/x
  3. Step 3: Cross multiply
    504.64x = 695.37 × 347.32
  4. Step 4: Simplify right side
    504.64x = 241,515.91
  5. Step 5: Solve for x
    x = 241,515.91/504.64
  6. Step 6: Final answer
    x = 478.59

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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.