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Finding the Fourth Proportional to 661.77, 913.28 and 440.84

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Solution

The fourth proportional to 661.77, 913.28 and 440.84 is: 608.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.77 : 913.28 = 440.84 : x
  2. Step 2: Convert to fraction form
    661.77/913.28 = 440.84/x
  3. Step 3: Cross multiply
    661.77x = 913.28 × 440.84
  4. Step 4: Simplify right side
    661.77x = 402,610.43
  5. Step 5: Solve for x
    x = 402,610.43/661.77
  6. Step 6: Final answer
    x = 608.38

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.