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Finding the Fourth Proportional to 509.68, 763.55 and 290.46

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Solution

The fourth proportional to 509.68, 763.55 and 290.46 is: 435.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.68 : 763.55 = 290.46 : x
  2. Step 2: Convert to fraction form
    509.68/763.55 = 290.46/x
  3. Step 3: Cross multiply
    509.68x = 763.55 × 290.46
  4. Step 4: Simplify right side
    509.68x = 221,777.87
  5. Step 5: Solve for x
    x = 221,777.87/509.68
  6. Step 6: Final answer
    x = 435.13

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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.