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Finding the Fourth Proportional to 509.16, 760.75 and 376.83

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Solution

The fourth proportional to 509.16, 760.75 and 376.83 is: 563.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.16 : 760.75 = 376.83 : x
  2. Step 2: Convert to fraction form
    509.16/760.75 = 376.83/x
  3. Step 3: Cross multiply
    509.16x = 760.75 × 376.83
  4. Step 4: Simplify right side
    509.16x = 286,669.62
  5. Step 5: Solve for x
    x = 286,669.62/509.16
  6. Step 6: Final answer
    x = 563.02

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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.