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Finding the Fourth Proportional to 930.51, 1,283.79 and 537.39

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Solution

The fourth proportional to 930.51, 1,283.79 and 537.39 is: 741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.51 : 1,283.79 = 537.39 : x
  2. Step 2: Convert to fraction form
    930.51/1,283.79 = 537.39/x
  3. Step 3: Cross multiply
    930.51x = 1,283.79 × 537.39
  4. Step 4: Simplify right side
    930.51x = 689,895.91
  5. Step 5: Solve for x
    x = 689,895.91/930.51
  6. Step 6: Final answer
    x = 741.42

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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.