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Finding the Fourth Proportional to 874.84, 1,312.26 and 258.55

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Solution

The fourth proportional to 874.84, 1,312.26 and 258.55 is: 387.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.84 : 1,312.26 = 258.55 : x
  2. Step 2: Convert to fraction form
    874.84/1,312.26 = 258.55/x
  3. Step 3: Cross multiply
    874.84x = 1,312.26 × 258.55
  4. Step 4: Simplify right side
    874.84x = 339,284.82
  5. Step 5: Solve for x
    x = 339,284.82/874.84
  6. Step 6: Final answer
    x = 387.83

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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.