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Finding the Fourth Proportional to 706.76, 975.22 and 412.04

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Solution

The fourth proportional to 706.76, 975.22 and 412.04 is: 568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.76 : 975.22 = 412.04 : x
  2. Step 2: Convert to fraction form
    706.76/975.22 = 412.04/x
  3. Step 3: Cross multiply
    706.76x = 975.22 × 412.04
  4. Step 4: Simplify right side
    706.76x = 401,829.65
  5. Step 5: Solve for x
    x = 401,829.65/706.76
  6. Step 6: Final answer
    x = 568.55

Related Problems

Find fourth proportional to 353.38, 487.61 and 206.02
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1.5x scale

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.