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Finding the Fourth Proportional to 705.84, 1,055.52 and 522.24

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Solution

The fourth proportional to 705.84, 1,055.52 and 522.24 is: 780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.84 : 1,055.52 = 522.24 : x
  2. Step 2: Convert to fraction form
    705.84/1,055.52 = 522.24/x
  3. Step 3: Cross multiply
    705.84x = 1,055.52 × 522.24
  4. Step 4: Simplify right side
    705.84x = 551,234.76
  5. Step 5: Solve for x
    x = 551,234.76/705.84
  6. Step 6: Final answer
    x = 780.96

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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.