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Finding the Fourth Proportional to 507.69, 761.58 and 291.06

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Solution

The fourth proportional to 507.69, 761.58 and 291.06 is: 436.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.69 : 761.58 = 291.06 : x
  2. Step 2: Convert to fraction form
    507.69/761.58 = 291.06/x
  3. Step 3: Cross multiply
    507.69x = 761.58 × 291.06
  4. Step 4: Simplify right side
    507.69x = 221,665.47
  5. Step 5: Solve for x
    x = 221,665.47/507.69
  6. Step 6: Final answer
    x = 436.62

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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.