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Finding the Fourth Proportional to 930.16, 1,283.52 and 580.96

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Solution

The fourth proportional to 930.16, 1,283.52 and 580.96 is: 801.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.16 : 1,283.52 = 580.96 : x
  2. Step 2: Convert to fraction form
    930.16/1,283.52 = 580.96/x
  3. Step 3: Cross multiply
    930.16x = 1,283.52 × 580.96
  4. Step 4: Simplify right side
    930.16x = 745,673.78
  5. Step 5: Solve for x
    x = 745,673.78/930.16
  6. Step 6: Final answer
    x = 801.66

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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.