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Finding the Fourth Proportional to 852.93, 1,176.75 and 479.83

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Solution

The fourth proportional to 852.93, 1,176.75 and 479.83 is: 662.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.93 : 1,176.75 = 479.83 : x
  2. Step 2: Convert to fraction form
    852.93/1,176.75 = 479.83/x
  3. Step 3: Cross multiply
    852.93x = 1,176.75 × 479.83
  4. Step 4: Simplify right side
    852.93x = 564,639.95
  5. Step 5: Solve for x
    x = 564,639.95/852.93
  6. Step 6: Final answer
    x = 662.00

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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.