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Finding the Fourth Proportional to 723.84, 1,084.24 and 569.03

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Solution

The fourth proportional to 723.84, 1,084.24 and 569.03 is: 852.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.84 : 1,084.24 = 569.03 : x
  2. Step 2: Convert to fraction form
    723.84/1,084.24 = 569.03/x
  3. Step 3: Cross multiply
    723.84x = 1,084.24 × 569.03
  4. Step 4: Simplify right side
    723.84x = 616,962.24
  5. Step 5: Solve for x
    x = 616,962.24/723.84
  6. Step 6: Final answer
    x = 852.35

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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.