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Finding the Fourth Proportional to 930.51, 1,283.67 and 598.82

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Solution

The fourth proportional to 930.51, 1,283.67 and 598.82 is: 826.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.51 : 1,283.67 = 598.82 : x
  2. Step 2: Convert to fraction form
    930.51/1,283.67 = 598.82/x
  3. Step 3: Cross multiply
    930.51x = 1,283.67 × 598.82
  4. Step 4: Simplify right side
    930.51x = 768,680.85
  5. Step 5: Solve for x
    x = 768,680.85/930.51
  6. Step 6: Final answer
    x = 826.09

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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.