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Finding the Fourth Proportional to 874.72, 1,312.88 and 412.76

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Solution

The fourth proportional to 874.72, 1,312.88 and 412.76 is: 619.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.72 : 1,312.88 = 412.76 : x
  2. Step 2: Convert to fraction form
    874.72/1,312.88 = 412.76/x
  3. Step 3: Cross multiply
    874.72x = 1,312.88 × 412.76
  4. Step 4: Simplify right side
    874.72x = 541,904.35
  5. Step 5: Solve for x
    x = 541,904.35/874.72
  6. Step 6: Final answer
    x = 619.52

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Double scale
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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.