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Finding the Fourth Proportional to 407.34, 557.30 and 405.62

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Solution

The fourth proportional to 407.34, 557.30 and 405.62 is: 554.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.34 : 557.30 = 405.62 : x
  2. Step 2: Convert to fraction form
    407.34/557.30 = 405.62/x
  3. Step 3: Cross multiply
    407.34x = 557.30 × 405.62
  4. Step 4: Simplify right side
    407.34x = 226,047.21
  5. Step 5: Solve for x
    x = 226,047.21/407.34
  6. Step 6: Final answer
    x = 554.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.