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Finding the Fourth Proportional to 509.55, 767.08 and 456.63

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Solution

The fourth proportional to 509.55, 767.08 and 456.63 is: 687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.55 : 767.08 = 456.63 : x
  2. Step 2: Convert to fraction form
    509.55/767.08 = 456.63/x
  3. Step 3: Cross multiply
    509.55x = 767.08 × 456.63
  4. Step 4: Simplify right side
    509.55x = 350,269.05
  5. Step 5: Solve for x
    x = 350,269.05/509.55
  6. Step 6: Final answer
    x = 687.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.