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Finding the Fourth Proportional to 509.94, 760.86 and 461.34

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Solution

The fourth proportional to 509.94, 760.86 and 461.34 is: 688.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.94 : 760.86 = 461.34 : x
  2. Step 2: Convert to fraction form
    509.94/760.86 = 461.34/x
  3. Step 3: Cross multiply
    509.94x = 760.86 × 461.34
  4. Step 4: Simplify right side
    509.94x = 351,015.15
  5. Step 5: Solve for x
    x = 351,015.15/509.94
  6. Step 6: Final answer
    x = 688.35

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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.