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Finding the Fourth Proportional to 529.76, 730.80 and 322.40

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Solution

The fourth proportional to 529.76, 730.80 and 322.40 is: 444.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.76 : 730.80 = 322.40 : x
  2. Step 2: Convert to fraction form
    529.76/730.80 = 322.40/x
  3. Step 3: Cross multiply
    529.76x = 730.80 × 322.40
  4. Step 4: Simplify right side
    529.76x = 235,609.92
  5. Step 5: Solve for x
    x = 235,609.92/529.76
  6. Step 6: Final answer
    x = 444.75

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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.