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Finding the Fourth Proportional to 852.65, 1,176.57 and 479.57

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Solution

The fourth proportional to 852.65, 1,176.57 and 479.57 is: 661.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.65 : 1,176.57 = 479.57 : x
  2. Step 2: Convert to fraction form
    852.65/1,176.57 = 479.57/x
  3. Step 3: Cross multiply
    852.65x = 1,176.57 × 479.57
  4. Step 4: Simplify right side
    852.65x = 564,247.67
  5. Step 5: Solve for x
    x = 564,247.67/852.65
  6. Step 6: Final answer
    x = 661.76

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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.