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Finding the Fourth Proportional to 617.50, 852.45 and 407.81

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Solution

The fourth proportional to 617.50, 852.45 and 407.81 is: 562.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.50 : 852.45 = 407.81 : x
  2. Step 2: Convert to fraction form
    617.50/852.45 = 407.81/x
  3. Step 3: Cross multiply
    617.50x = 852.45 × 407.81
  4. Step 4: Simplify right side
    617.50x = 347,637.63
  5. Step 5: Solve for x
    x = 347,637.63/617.50
  6. Step 6: Final answer
    x = 562.98

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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.