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Finding the Fourth Proportional to 509.49, 767.97 and 476.10

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Solution

The fourth proportional to 509.49, 767.97 and 476.10 is: 717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.49 : 767.97 = 476.10 : x
  2. Step 2: Convert to fraction form
    509.49/767.97 = 476.10/x
  3. Step 3: Cross multiply
    509.49x = 767.97 × 476.10
  4. Step 4: Simplify right side
    509.49x = 365,630.52
  5. Step 5: Solve for x
    x = 365,630.52/509.49
  6. Step 6: Final answer
    x = 717.64

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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.