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Finding the Fourth Proportional to 412.55, 568.94 and 307.90

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Solution

The fourth proportional to 412.55, 568.94 and 307.90 is: 424.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.55 : 568.94 = 307.90 : x
  2. Step 2: Convert to fraction form
    412.55/568.94 = 307.90/x
  3. Step 3: Cross multiply
    412.55x = 568.94 × 307.90
  4. Step 4: Simplify right side
    412.55x = 175,176.63
  5. Step 5: Solve for x
    x = 175,176.63/412.55
  6. Step 6: Final answer
    x = 424.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.