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Finding the Fourth Proportional to 851.77, 1,275.35 and 440.05

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Solution

The fourth proportional to 851.77, 1,275.35 and 440.05 is: 658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.77 : 1,275.35 = 440.05 : x
  2. Step 2: Convert to fraction form
    851.77/1,275.35 = 440.05/x
  3. Step 3: Cross multiply
    851.77x = 1,275.35 × 440.05
  4. Step 4: Simplify right side
    851.77x = 561,214.77
  5. Step 5: Solve for x
    x = 561,214.77/851.77
  6. Step 6: Final answer
    x = 658.88

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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.