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Finding the Fourth Proportional to 705.42, 971.73 and 670.86

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Solution

The fourth proportional to 705.42, 971.73 and 670.86 is: 924.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.42 : 971.73 = 670.86 : x
  2. Step 2: Convert to fraction form
    705.42/971.73 = 670.86/x
  3. Step 3: Cross multiply
    705.42x = 971.73 × 670.86
  4. Step 4: Simplify right side
    705.42x = 651,894.79
  5. Step 5: Solve for x
    x = 651,894.79/705.42
  6. Step 6: Final answer
    x = 924.12

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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.