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Finding the Fourth Proportional to 800.77, 1,105.01 and 446.74

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Solution

The fourth proportional to 800.77, 1,105.01 and 446.74 is: 616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.77 : 1,105.01 = 446.74 : x
  2. Step 2: Convert to fraction form
    800.77/1,105.01 = 446.74/x
  3. Step 3: Cross multiply
    800.77x = 1,105.01 × 446.74
  4. Step 4: Simplify right side
    800.77x = 493,652.99
  5. Step 5: Solve for x
    x = 493,652.99/800.77
  6. Step 6: Final answer
    x = 616.47

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Find fourth proportional to 400.38, 552.50 and 223.37
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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.