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Finding the Fourth Proportional to 509.10, 760.17 and 417.98

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Solution

The fourth proportional to 509.10, 760.17 and 417.98 is: 624.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.10 : 760.17 = 417.98 : x
  2. Step 2: Convert to fraction form
    509.10/760.17 = 417.98/x
  3. Step 3: Cross multiply
    509.10x = 760.17 × 417.98
  4. Step 4: Simplify right side
    509.10x = 317,735.86
  5. Step 5: Solve for x
    x = 317,735.86/509.10
  6. Step 6: Final answer
    x = 624.11

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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.