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Finding the Fourth Proportional to 617.84, 852 and 407.60

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Solution

The fourth proportional to 617.84, 852 and 407.60 is: 562.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.84 : 852 = 407.60 : x
  2. Step 2: Convert to fraction form
    617.84/852 = 407.60/x
  3. Step 3: Cross multiply
    617.84x = 852 × 407.60
  4. Step 4: Simplify right side
    617.84x = 347,275.20
  5. Step 5: Solve for x
    x = 347,275.20/617.84
  6. Step 6: Final answer
    x = 562.08

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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.