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Finding the Fourth Proportional to 706.05, 973.35 and 484.65

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Solution

The fourth proportional to 706.05, 973.35 and 484.65 is: 668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.05 : 973.35 = 484.65 : x
  2. Step 2: Convert to fraction form
    706.05/973.35 = 484.65/x
  3. Step 3: Cross multiply
    706.05x = 973.35 × 484.65
  4. Step 4: Simplify right side
    706.05x = 471,734.08
  5. Step 5: Solve for x
    x = 471,734.08/706.05
  6. Step 6: Final answer
    x = 668.13

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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.