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Finding the Fourth Proportional to 930.74, 1,284.37 and 532.39

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Solution

The fourth proportional to 930.74, 1,284.37 and 532.39 is: 734.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.74 : 1,284.37 = 532.39 : x
  2. Step 2: Convert to fraction form
    930.74/1,284.37 = 532.39/x
  3. Step 3: Cross multiply
    930.74x = 1,284.37 × 532.39
  4. Step 4: Simplify right side
    930.74x = 683,785.74
  5. Step 5: Solve for x
    x = 683,785.74/930.74
  6. Step 6: Final answer
    x = 734.67

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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.