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Finding the Fourth Proportional to 661.39, 913.02 and 472.48

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Solution

The fourth proportional to 661.39, 913.02 and 472.48 is: 652.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.39 : 913.02 = 472.48 : x
  2. Step 2: Convert to fraction form
    661.39/913.02 = 472.48/x
  3. Step 3: Cross multiply
    661.39x = 913.02 × 472.48
  4. Step 4: Simplify right side
    661.39x = 431,383.69
  5. Step 5: Solve for x
    x = 431,383.69/661.39
  6. Step 6: Final answer
    x = 652.24

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Half scale
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Double scale
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Similar ratio
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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.