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Finding the Fourth Proportional to 705.84, 971.76 and 484.32

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Solution

The fourth proportional to 705.84, 971.76 and 484.32 is: 666.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.84 : 971.76 = 484.32 : x
  2. Step 2: Convert to fraction form
    705.84/971.76 = 484.32/x
  3. Step 3: Cross multiply
    705.84x = 971.76 × 484.32
  4. Step 4: Simplify right side
    705.84x = 470,642.80
  5. Step 5: Solve for x
    x = 470,642.80/705.84
  6. Step 6: Final answer
    x = 666.78

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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.