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Finding the Fourth Proportional to 930.72, 1,284.59 and 532.37

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Solution

The fourth proportional to 930.72, 1,284.59 and 532.37 is: 734.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.72 : 1,284.59 = 532.37 : x
  2. Step 2: Convert to fraction form
    930.72/1,284.59 = 532.37/x
  3. Step 3: Cross multiply
    930.72x = 1,284.59 × 532.37
  4. Step 4: Simplify right side
    930.72x = 683,868.09
  5. Step 5: Solve for x
    x = 683,868.09/930.72
  6. Step 6: Final answer
    x = 734.77

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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.