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Finding the Fourth Proportional to 507.69, 761.67 and 290.79

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Solution

The fourth proportional to 507.69, 761.67 and 290.79 is: 436.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.69 : 761.67 = 290.79 : x
  2. Step 2: Convert to fraction form
    507.69/761.67 = 290.79/x
  3. Step 3: Cross multiply
    507.69x = 761.67 × 290.79
  4. Step 4: Simplify right side
    507.69x = 221,486.02
  5. Step 5: Solve for x
    x = 221,486.02/507.69
  6. Step 6: Final answer
    x = 436.26

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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.