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Finding the Fourth Proportional to 873.51, 1,310.32 and 257.16

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Solution

The fourth proportional to 873.51, 1,310.32 and 257.16 is: 385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.51 : 1,310.32 = 257.16 : x
  2. Step 2: Convert to fraction form
    873.51/1,310.32 = 257.16/x
  3. Step 3: Cross multiply
    873.51x = 1,310.32 × 257.16
  4. Step 4: Simplify right side
    873.51x = 336,961.25
  5. Step 5: Solve for x
    x = 336,961.25/873.51
  6. Step 6: Final answer
    x = 385.76

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Double scale
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1.5x scale

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.