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Finding the Fourth Proportional to 1,216.76, 1,680.16 and 775.44

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Solution

The fourth proportional to 1,216.76, 1,680.16 and 775.44 is: 1,070.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.76 : 1,680.16 = 775.44 : x
  2. Step 2: Convert to fraction form
    1,216.76/1,680.16 = 775.44/x
  3. Step 3: Cross multiply
    1,216.76x = 1,680.16 × 775.44
  4. Step 4: Simplify right side
    1,216.76x = 1,302,863.27
  5. Step 5: Solve for x
    x = 1,302,863.27/1,216.76
  6. Step 6: Final answer
    x = 1,070.76

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Find fourth proportional to 608.38, 840.08 and 387.72
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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.