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Finding the Fourth Proportional to 529.60, 792.96 and 312.80

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Solution

The fourth proportional to 529.60, 792.96 and 312.80 is: 468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.60 : 792.96 = 312.80 : x
  2. Step 2: Convert to fraction form
    529.60/792.96 = 312.80/x
  3. Step 3: Cross multiply
    529.60x = 792.96 × 312.80
  4. Step 4: Simplify right side
    529.60x = 248,037.89
  5. Step 5: Solve for x
    x = 248,037.89/529.60
  6. Step 6: Final answer
    x = 468.35

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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.