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Finding the Fourth Proportional to 706.65, 1,057.88 and 524.85

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Solution

The fourth proportional to 706.65, 1,057.88 and 524.85 is: 785.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.65 : 1,057.88 = 524.85 : x
  2. Step 2: Convert to fraction form
    706.65/1,057.88 = 524.85/x
  3. Step 3: Cross multiply
    706.65x = 1,057.88 × 524.85
  4. Step 4: Simplify right side
    706.65x = 555,225.69
  5. Step 5: Solve for x
    x = 555,225.69/706.65
  6. Step 6: Final answer
    x = 785.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.