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Finding the Fourth Proportional to 928.76, 1,392.80 and 312.35

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Solution

The fourth proportional to 928.76, 1,392.80 and 312.35 is: 468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.76 : 1,392.80 = 312.35 : x
  2. Step 2: Convert to fraction form
    928.76/1,392.80 = 312.35/x
  3. Step 3: Cross multiply
    928.76x = 1,392.80 × 312.35
  4. Step 4: Simplify right side
    928.76x = 435,032.55
  5. Step 5: Solve for x
    x = 435,032.55/928.76
  6. Step 6: Final answer
    x = 468.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.