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Finding the Fourth Proportional to 928.19, 1,280.53 and 613.62

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Solution

The fourth proportional to 928.19, 1,280.53 and 613.62 is: 846.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.19 : 1,280.53 = 613.62 : x
  2. Step 2: Convert to fraction form
    928.19/1,280.53 = 613.62/x
  3. Step 3: Cross multiply
    928.19x = 1,280.53 × 613.62
  4. Step 4: Simplify right side
    928.19x = 785,758.82
  5. Step 5: Solve for x
    x = 785,758.82/928.19
  6. Step 6: Final answer
    x = 846.55

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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.