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Finding the Fourth Proportional to 509.56, 761.22 and 407.05

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Solution

The fourth proportional to 509.56, 761.22 and 407.05 is: 608.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.56 : 761.22 = 407.05 : x
  2. Step 2: Convert to fraction form
    509.56/761.22 = 407.05/x
  3. Step 3: Cross multiply
    509.56x = 761.22 × 407.05
  4. Step 4: Simplify right side
    509.56x = 309,852.70
  5. Step 5: Solve for x
    x = 309,852.70/509.56
  6. Step 6: Final answer
    x = 608.08

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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.