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Finding the Fourth Proportional to 930.69, 1,283.94 and 598.99

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Solution

The fourth proportional to 930.69, 1,283.94 and 598.99 is: 826.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.69 : 1,283.94 = 598.99 : x
  2. Step 2: Convert to fraction form
    930.69/1,283.94 = 598.99/x
  3. Step 3: Cross multiply
    930.69x = 1,283.94 × 598.99
  4. Step 4: Simplify right side
    930.69x = 769,067.22
  5. Step 5: Solve for x
    x = 769,067.22/930.69
  6. Step 6: Final answer
    x = 826.34

Related Problems

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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.