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Finding the Fourth Proportional to 509.89, 760.43 and 433.35

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Solution

The fourth proportional to 509.89, 760.43 and 433.35 is: 646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.89 : 760.43 = 433.35 : x
  2. Step 2: Convert to fraction form
    509.89/760.43 = 433.35/x
  3. Step 3: Cross multiply
    509.89x = 760.43 × 433.35
  4. Step 4: Simplify right side
    509.89x = 329,526.37
  5. Step 5: Solve for x
    x = 329,526.37/509.89
  6. Step 6: Final answer
    x = 646.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.