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Finding the Fourth Proportional to 931.79, 1,285.99 and 533.38

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Solution

The fourth proportional to 931.79, 1,285.99 and 533.38 is: 736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.79 : 1,285.99 = 533.38 : x
  2. Step 2: Convert to fraction form
    931.79/1,285.99 = 533.38/x
  3. Step 3: Cross multiply
    931.79x = 1,285.99 × 533.38
  4. Step 4: Simplify right side
    931.79x = 685,914.92
  5. Step 5: Solve for x
    x = 685,914.92/931.79
  6. Step 6: Final answer
    x = 736.13

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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.