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Finding the Fourth Proportional to 509.60, 761.14 and 416.72

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Solution

The fourth proportional to 509.60, 761.14 and 416.72 is: 622.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.60 : 761.14 = 416.72 : x
  2. Step 2: Convert to fraction form
    509.60/761.14 = 416.72/x
  3. Step 3: Cross multiply
    509.60x = 761.14 × 416.72
  4. Step 4: Simplify right side
    509.60x = 317,182.26
  5. Step 5: Solve for x
    x = 317,182.26/509.60
  6. Step 6: Final answer
    x = 622.41

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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.