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Finding the Fourth Proportional to 585.45, 877.95 and 220.04

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Solution

The fourth proportional to 585.45, 877.95 and 220.04 is: 329.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.45 : 877.95 = 220.04 : x
  2. Step 2: Convert to fraction form
    585.45/877.95 = 220.04/x
  3. Step 3: Cross multiply
    585.45x = 877.95 × 220.04
  4. Step 4: Simplify right side
    585.45x = 193,184.12
  5. Step 5: Solve for x
    x = 193,184.12/585.45
  6. Step 6: Final answer
    x = 329.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.