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Finding the Fourth Proportional to 529.76, 730.49 and 433.65

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Solution

The fourth proportional to 529.76, 730.49 and 433.65 is: 597.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.76 : 730.49 = 433.65 : x
  2. Step 2: Convert to fraction form
    529.76/730.49 = 433.65/x
  3. Step 3: Cross multiply
    529.76x = 730.49 × 433.65
  4. Step 4: Simplify right side
    529.76x = 316,774.82
  5. Step 5: Solve for x
    x = 316,774.82/529.76
  6. Step 6: Final answer
    x = 597.96

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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.