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Finding the Fourth Proportional to 531.65, 733.65 and 298.79

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Solution

The fourth proportional to 531.65, 733.65 and 298.79 is: 412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.65 : 733.65 = 298.79 : x
  2. Step 2: Convert to fraction form
    531.65/733.65 = 298.79/x
  3. Step 3: Cross multiply
    531.65x = 733.65 × 298.79
  4. Step 4: Simplify right side
    531.65x = 219,207.28
  5. Step 5: Solve for x
    x = 219,207.28/531.65
  6. Step 6: Final answer
    x = 412.32

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1.5x scale

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.