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Finding the Fourth Proportional to 706.69, 975.17 and 559.69

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Solution

The fourth proportional to 706.69, 975.17 and 559.69 is: 772.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.69 : 975.17 = 559.69 : x
  2. Step 2: Convert to fraction form
    706.69/975.17 = 559.69/x
  3. Step 3: Cross multiply
    706.69x = 975.17 × 559.69
  4. Step 4: Simplify right side
    706.69x = 545,790.10
  5. Step 5: Solve for x
    x = 545,790.10/706.69
  6. Step 6: Final answer
    x = 772.32

Related Problems

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Half scale
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Double scale
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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.