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Finding the Fourth Proportional to 852.02, 1,175.82 and 498.16

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Solution

The fourth proportional to 852.02, 1,175.82 and 498.16 is: 687.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.02 : 1,175.82 = 498.16 : x
  2. Step 2: Convert to fraction form
    852.02/1,175.82 = 498.16/x
  3. Step 3: Cross multiply
    852.02x = 1,175.82 × 498.16
  4. Step 4: Simplify right side
    852.02x = 585,746.49
  5. Step 5: Solve for x
    x = 585,746.49/852.02
  6. Step 6: Final answer
    x = 687.48

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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.