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Finding the Fourth Proportional to 873.93, 1,311.14 and 257.62

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Solution

The fourth proportional to 873.93, 1,311.14 and 257.62 is: 386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.93 : 1,311.14 = 257.62 : x
  2. Step 2: Convert to fraction form
    873.93/1,311.14 = 257.62/x
  3. Step 3: Cross multiply
    873.93x = 1,311.14 × 257.62
  4. Step 4: Simplify right side
    873.93x = 337,775.89
  5. Step 5: Solve for x
    x = 337,775.89/873.93
  6. Step 6: Final answer
    x = 386.50

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Half scale
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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.