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Finding the Fourth Proportional to 579.60, 869.04 and 189.52

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Solution

The fourth proportional to 579.60, 869.04 and 189.52 is: 284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.60 : 869.04 = 189.52 : x
  2. Step 2: Convert to fraction form
    579.60/869.04 = 189.52/x
  3. Step 3: Cross multiply
    579.60x = 869.04 × 189.52
  4. Step 4: Simplify right side
    579.60x = 164,700.46
  5. Step 5: Solve for x
    x = 164,700.46/579.60
  6. Step 6: Final answer
    x = 284.16

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1.5x scale

Why These Related Problems?

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