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Finding the Fourth Proportional to 506.60, 759.54 and 290.06

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Solution

The fourth proportional to 506.60, 759.54 and 290.06 is: 434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.60 : 759.54 = 290.06 : x
  2. Step 2: Convert to fraction form
    506.60/759.54 = 290.06/x
  3. Step 3: Cross multiply
    506.60x = 759.54 × 290.06
  4. Step 4: Simplify right side
    506.60x = 220,312.17
  5. Step 5: Solve for x
    x = 220,312.17/506.60
  6. Step 6: Final answer
    x = 434.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.