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Finding the Fourth Proportional to 928.25, 1,281.14 and 535.21

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Solution

The fourth proportional to 928.25, 1,281.14 and 535.21 is: 738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.25 : 1,281.14 = 535.21 : x
  2. Step 2: Convert to fraction form
    928.25/1,281.14 = 535.21/x
  3. Step 3: Cross multiply
    928.25x = 1,281.14 × 535.21
  4. Step 4: Simplify right side
    928.25x = 685,678.94
  5. Step 5: Solve for x
    x = 685,678.94/928.25
  6. Step 6: Final answer
    x = 738.68

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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.