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Finding the Fourth Proportional to 733.81, 1,013.46 and 569.99

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Solution

The fourth proportional to 733.81, 1,013.46 and 569.99 is: 787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.81 : 1,013.46 = 569.99 : x
  2. Step 2: Convert to fraction form
    733.81/1,013.46 = 569.99/x
  3. Step 3: Cross multiply
    733.81x = 1,013.46 × 569.99
  4. Step 4: Simplify right side
    733.81x = 577,662.07
  5. Step 5: Solve for x
    x = 577,662.07/733.81
  6. Step 6: Final answer
    x = 787.21

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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.