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Finding the Fourth Proportional to 531.79, 798.59 and 288.79

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Solution

The fourth proportional to 531.79, 798.59 and 288.79 is: 433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.79 : 798.59 = 288.79 : x
  2. Step 2: Convert to fraction form
    531.79/798.59 = 288.79/x
  3. Step 3: Cross multiply
    531.79x = 798.59 × 288.79
  4. Step 4: Simplify right side
    531.79x = 230,623.53
  5. Step 5: Solve for x
    x = 230,623.53/531.79
  6. Step 6: Final answer
    x = 433.68

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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.