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Finding the Fourth Proportional to 656.18, 904.62 and 446.04

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Solution

The fourth proportional to 656.18, 904.62 and 446.04 is: 614.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.18 : 904.62 = 446.04 : x
  2. Step 2: Convert to fraction form
    656.18/904.62 = 446.04/x
  3. Step 3: Cross multiply
    656.18x = 904.62 × 446.04
  4. Step 4: Simplify right side
    656.18x = 403,496.70
  5. Step 5: Solve for x
    x = 403,496.70/656.18
  6. Step 6: Final answer
    x = 614.92

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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.